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Finding the Third Proportional to 97,785,906 and 207,228,468

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Solution

The third proportional to 97,785,906 and 207,228,468 is: 439,159,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,906 : 207,228,468 = 207,228,468 : x
  2. Step 2: Convert to fraction form
    97,785,906/207,228,468 = 207,228,468/x
  3. Step 3: Cross multiply
    97,785,906x = 207,228,468 × 207,228,468
  4. Step 4: Simplify right side
    97,785,906x = 42,943,637,949,627,024
  5. Step 5: Solve for x
    x = 42,943,637,949,627,024/97,785,906
  6. Step 6: Final answer
    x = 439,159,790.06

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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.