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Finding the Third Proportional to 57,506,114 and 123,781,000

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Solution

The third proportional to 57,506,114 and 123,781,000 is: 266,436,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506,114 : 123,781,000 = 123,781,000 : x
  2. Step 2: Convert to fraction form
    57,506,114/123,781,000 = 123,781,000/x
  3. Step 3: Cross multiply
    57,506,114x = 123,781,000 × 123,781,000
  4. Step 4: Simplify right side
    57,506,114x = 15,321,735,961,000,000
  5. Step 5: Solve for x
    x = 15,321,735,961,000,000/57,506,114
  6. Step 6: Final answer
    x = 266,436,642.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.