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Finding the Third Proportional to 199,841,982 and 299,761,983

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Solution

The third proportional to 199,841,982 and 299,761,983 is: 449,641,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,841,982 : 299,761,983 = 299,761,983 : x
  2. Step 2: Convert to fraction form
    199,841,982/299,761,983 = 299,761,983/x
  3. Step 3: Cross multiply
    199,841,982x = 299,761,983 × 299,761,983
  4. Step 4: Simplify right side
    199,841,982x = 89,857,246,452,092,288
  5. Step 5: Solve for x
    x = 89,857,246,452,092,288/199,841,982
  6. Step 6: Final answer
    x = 449,641,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.