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Finding the Third Proportional to 54,641,387.53 and 89,215,022.53

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Solution

The third proportional to 54,641,387.53 and 89,215,022.53 is: 145,664,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641,387.53 : 89,215,022.53 = 89,215,022.53 : x
  2. Step 2: Convert to fraction form
    54,641,387.53/89,215,022.53 = 89,215,022.53/x
  3. Step 3: Cross multiply
    54,641,387.53x = 89,215,022.53 × 89,215,022.53
  4. Step 4: Simplify right side
    54,641,387.53x = 7,959,320,245,251,445
  5. Step 5: Solve for x
    x = 7,959,320,245,251,445/54,641,387.53
  6. Step 6: Final answer
    x = 145,664,680.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.