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Finding the Third Proportional to 97,785,904 and 207,228,464

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Solution

The third proportional to 97,785,904 and 207,228,464 is: 439,159,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,904 : 207,228,464 = 207,228,464 : x
  2. Step 2: Convert to fraction form
    97,785,904/207,228,464 = 207,228,464/x
  3. Step 3: Cross multiply
    97,785,904x = 207,228,464 × 207,228,464
  4. Step 4: Simplify right side
    97,785,904x = 42,943,636,291,799,296
  5. Step 5: Solve for x
    x = 42,943,636,291,799,296/97,785,904
  6. Step 6: Final answer
    x = 439,159,782.09

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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.