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Finding the Third Proportional to 41,047,513.50 and 89,239,773.75

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Solution

The third proportional to 41,047,513.50 and 89,239,773.75 is: 194,012,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,047,513.50 : 89,239,773.75 = 89,239,773.75 : x
  2. Step 2: Convert to fraction form
    41,047,513.50/89,239,773.75 = 89,239,773.75/x
  3. Step 3: Cross multiply
    41,047,513.50x = 89,239,773.75 × 89,239,773.75
  4. Step 4: Simplify right side
    41,047,513.50x = 7,963,737,218,951,189
  5. Step 5: Solve for x
    x = 7,963,737,218,951,189/41,047,513.50
  6. Step 6: Final answer
    x = 194,012,658.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.