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Finding the Third Proportional to 149,288,053,326 and 329,005,766,478

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Solution

The third proportional to 149,288,053,326 and 329,005,766,478 is: 725,073,386,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,053,326 : 329,005,766,478 = 329,005,766,478 : x
  2. Step 2: Convert to fraction form
    149,288,053,326/329,005,766,478 = 329,005,766,478/x
  3. Step 3: Cross multiply
    149,288,053,326x = 329,005,766,478 × 329,005,766,478
  4. Step 4: Simplify right side
    149,288,053,326x = 108,244,794,375,776,260,587,520
  5. Step 5: Solve for x
    x = 108,244,794,375,776,260,587,520/149,288,053,326
  6. Step 6: Final answer
    x = 725,073,386,410.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.