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Finding the Third Proportional to 191,706,358.50 and 419,904,229.50

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Solution

The third proportional to 191,706,358.50 and 419,904,229.50 is: 919,737,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,706,358.50 : 419,904,229.50 = 419,904,229.50 : x
  2. Step 2: Convert to fraction form
    191,706,358.50/419,904,229.50 = 419,904,229.50/x
  3. Step 3: Cross multiply
    191,706,358.50x = 419,904,229.50 × 419,904,229.50
  4. Step 4: Simplify right side
    191,706,358.50x = 176,319,561,951,988,672
  5. Step 5: Solve for x
    x = 176,319,561,951,988,672/191,706,358.50
  6. Step 6: Final answer
    x = 919,737,682.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.