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Finding the Third Proportional to 42,099,928 and 90,696,703

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Solution

The third proportional to 42,099,928 and 90,696,703 is: 195,389,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099,928 : 90,696,703 = 90,696,703 : x
  2. Step 2: Convert to fraction form
    42,099,928/90,696,703 = 90,696,703/x
  3. Step 3: Cross multiply
    42,099,928x = 90,696,703 × 90,696,703
  4. Step 4: Simplify right side
    42,099,928x = 8,225,891,935,070,209
  5. Step 5: Solve for x
    x = 8,225,891,935,070,209/42,099,928
  6. Step 6: Final answer
    x = 195,389,691.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.