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Finding the Third Proportional to 54,641,388.75 and 89,215,025.25

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Solution

The third proportional to 54,641,388.75 and 89,215,025.25 is: 145,664,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641,388.75 : 89,215,025.25 = 89,215,025.25 : x
  2. Step 2: Convert to fraction form
    54,641,388.75/89,215,025.25 = 89,215,025.25/x
  3. Step 3: Cross multiply
    54,641,388.75x = 89,215,025.25 × 89,215,025.25
  4. Step 4: Simplify right side
    54,641,388.75x = 7,959,320,730,358,138
  5. Step 5: Solve for x
    x = 7,959,320,730,358,138/54,641,388.75
  6. Step 6: Final answer
    x = 145,664,685.92

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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.