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Finding the Third Proportional to 97,083,241 and 208,574,073

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Solution

The third proportional to 97,083,241 and 208,574,073 is: 448,101,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,083,241 : 208,574,073 = 208,574,073 : x
  2. Step 2: Convert to fraction form
    97,083,241/208,574,073 = 208,574,073/x
  3. Step 3: Cross multiply
    97,083,241x = 208,574,073 × 208,574,073
  4. Step 4: Simplify right side
    97,083,241x = 43,503,143,927,809,328
  5. Step 5: Solve for x
    x = 43,503,143,927,809,328/97,083,241
  6. Step 6: Final answer
    x = 448,101,479.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.