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Finding the Third Proportional to 47,175,331.50 and 100,908,787.50

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Solution

The third proportional to 47,175,331.50 and 100,908,787.50 is: 215,845,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175,331.50 : 100,908,787.50 = 100,908,787.50 : x
  2. Step 2: Convert to fraction form
    47,175,331.50/100,908,787.50 = 100,908,787.50/x
  3. Step 3: Cross multiply
    47,175,331.50x = 100,908,787.50 × 100,908,787.50
  4. Step 4: Simplify right side
    47,175,331.50x = 10,182,583,394,720,156
  5. Step 5: Solve for x
    x = 10,182,583,394,720,156/47,175,331.50
  6. Step 6: Final answer
    x = 215,845,508.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.