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Finding the Third Proportional to 42,256,125 and 89,050,821.75

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Solution

The third proportional to 42,256,125 and 89,050,821.75 is: 187,666,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256,125 : 89,050,821.75 = 89,050,821.75 : x
  2. Step 2: Convert to fraction form
    42,256,125/89,050,821.75 = 89,050,821.75/x
  3. Step 3: Cross multiply
    42,256,125x = 89,050,821.75 × 89,050,821.75
  4. Step 4: Simplify right side
    42,256,125x = 7,930,048,854,350,273
  5. Step 5: Solve for x
    x = 7,930,048,854,350,273/42,256,125
  6. Step 6: Final answer
    x = 187,666,257.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.