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Finding the Third Proportional to 97,785,982 and 207,228,620

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Solution

The third proportional to 97,785,982 and 207,228,620 is: 439,160,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,982 : 207,228,620 = 207,228,620 : x
  2. Step 2: Convert to fraction form
    97,785,982/207,228,620 = 207,228,620/x
  3. Step 3: Cross multiply
    97,785,982x = 207,228,620 × 207,228,620
  4. Step 4: Simplify right side
    97,785,982x = 42,943,700,947,104,400
  5. Step 5: Solve for x
    x = 42,943,700,947,104,400/97,785,982
  6. Step 6: Final answer
    x = 439,160,092.98

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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.