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Finding the Third Proportional to 69,423,581.25 and 148,073,568.75

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Solution

The third proportional to 69,423,581.25 and 148,073,568.75 is: 315,826,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,423,581.25 : 148,073,568.75 = 148,073,568.75 : x
  2. Step 2: Convert to fraction form
    69,423,581.25/148,073,568.75 = 148,073,568.75/x
  3. Step 3: Cross multiply
    69,423,581.25x = 148,073,568.75 × 148,073,568.75
  4. Step 4: Simplify right side
    69,423,581.25x = 21,925,781,762,360,976
  5. Step 5: Solve for x
    x = 21,925,781,762,360,976/69,423,581.25
  6. Step 6: Final answer
    x = 315,826,141.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.