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Finding the Third Proportional to 45,420,891.75 and 99,921,721.50

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Solution

The third proportional to 45,420,891.75 and 99,921,721.50 is: 219,818,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420,891.75 : 99,921,721.50 = 99,921,721.50 : x
  2. Step 2: Convert to fraction form
    45,420,891.75/99,921,721.50 = 99,921,721.50/x
  3. Step 3: Cross multiply
    45,420,891.75x = 99,921,721.50 × 99,921,721.50
  4. Step 4: Simplify right side
    45,420,891.75x = 9,984,350,427,523,562
  5. Step 5: Solve for x
    x = 9,984,350,427,523,562/45,420,891.75
  6. Step 6: Final answer
    x = 219,818,458.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.