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Finding the Third Proportional to 97,786,038 and 207,228,732

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Solution

The third proportional to 97,786,038 and 207,228,732 is: 439,160,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,038 : 207,228,732 = 207,228,732 : x
  2. Step 2: Convert to fraction form
    97,786,038/207,228,732 = 207,228,732/x
  3. Step 3: Cross multiply
    97,786,038x = 207,228,732 × 207,228,732
  4. Step 4: Simplify right side
    97,786,038x = 42,943,747,366,327,824
  5. Step 5: Solve for x
    x = 42,943,747,366,327,824/97,786,038
  6. Step 6: Final answer
    x = 439,160,316.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.