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Finding the Third Proportional to 43,709,315,371,992 and 97,191,409,801,932

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Solution

The third proportional to 43,709,315,371,992 and 97,191,409,801,932 is: 216,113,431,631,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709,315,371,992 : 97,191,409,801,932 = 97,191,409,801,932 : x
  2. Step 2: Convert to fraction form
    43,709,315,371,992/97,191,409,801,932 = 97,191,409,801,932/x
  3. Step 3: Cross multiply
    43,709,315,371,992x = 97,191,409,801,932 × 97,191,409,801,932
  4. Step 4: Simplify right side
    43,709,315,371,992x = 9,446,170,139,287,083,498,021,584,896
  5. Step 5: Solve for x
    x = 9,446,170,139,287,083,498,021,584,896/43,709,315,371,992
  6. Step 6: Final answer
    x = 216,113,431,631,097.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.