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Finding the Third Proportional to 104,278,758 and 153,225,747

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Solution

The third proportional to 104,278,758 and 153,225,747 is: 225,147,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,278,758 : 153,225,747 = 153,225,747 : x
  2. Step 2: Convert to fraction form
    104,278,758/153,225,747 = 153,225,747/x
  3. Step 3: Cross multiply
    104,278,758x = 153,225,747 × 153,225,747
  4. Step 4: Simplify right side
    104,278,758x = 23,478,129,543,708,008
  5. Step 5: Solve for x
    x = 23,478,129,543,708,008/104,278,758
  6. Step 6: Final answer
    x = 225,147,767.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.