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Finding the Third Proportional to 149,288,053,328 and 329,005,766,482

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Solution

The third proportional to 149,288,053,328 and 329,005,766,482 is: 725,073,386,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,053,328 : 329,005,766,482 = 329,005,766,482 : x
  2. Step 2: Convert to fraction form
    149,288,053,328/329,005,766,482 = 329,005,766,482/x
  3. Step 3: Cross multiply
    149,288,053,328x = 329,005,766,482 × 329,005,766,482
  4. Step 4: Simplify right side
    149,288,053,328x = 108,244,794,378,408,320,565,248
  5. Step 5: Solve for x
    x = 108,244,794,378,408,320,565,248/149,288,053,328
  6. Step 6: Final answer
    x = 725,073,386,418.83

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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.