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Finding the Third Proportional to 97,785,970 and 207,228,596

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Solution

The third proportional to 97,785,970 and 207,228,596 is: 439,160,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,970 : 207,228,596 = 207,228,596 : x
  2. Step 2: Convert to fraction form
    97,785,970/207,228,596 = 207,228,596/x
  3. Step 3: Cross multiply
    97,785,970x = 207,228,596 × 207,228,596
  4. Step 4: Simplify right side
    97,785,970x = 42,943,691,000,131,216
  5. Step 5: Solve for x
    x = 42,943,691,000,131,216/97,785,970
  6. Step 6: Final answer
    x = 439,160,045.15

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