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Finding the Third Proportional to 47,301,824 and 101,986,958

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Solution

The third proportional to 47,301,824 and 101,986,958 is: 219,892,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301,824 : 101,986,958 = 101,986,958 : x
  2. Step 2: Convert to fraction form
    47,301,824/101,986,958 = 101,986,958/x
  3. Step 3: Cross multiply
    47,301,824x = 101,986,958 × 101,986,958
  4. Step 4: Simplify right side
    47,301,824x = 10,401,339,602,093,764
  5. Step 5: Solve for x
    x = 10,401,339,602,093,764/47,301,824
  6. Step 6: Final answer
    x = 219,892,991.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.