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Finding the Third Proportional to 275,951,164.50 and 424,156,560.75

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Solution

The third proportional to 275,951,164.50 and 424,156,560.75 is: 651,958,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,951,164.50 : 424,156,560.75 = 424,156,560.75 : x
  2. Step 2: Convert to fraction form
    275,951,164.50/424,156,560.75 = 424,156,560.75/x
  3. Step 3: Cross multiply
    275,951,164.50x = 424,156,560.75 × 424,156,560.75
  4. Step 4: Simplify right side
    275,951,164.50x = 179,908,788,027,268,448
  5. Step 5: Solve for x
    x = 179,908,788,027,268,448/275,951,164.50
  6. Step 6: Final answer
    x = 651,958,792.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.