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Finding the Third Proportional to 146,274,336 and 304,655,418

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Solution

The third proportional to 146,274,336 and 304,655,418 is: 634,526,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274,336 : 304,655,418 = 304,655,418 : x
  2. Step 2: Convert to fraction form
    146,274,336/304,655,418 = 304,655,418/x
  3. Step 3: Cross multiply
    146,274,336x = 304,655,418 × 304,655,418
  4. Step 4: Simplify right side
    146,274,336x = 92,814,923,716,754,720
  5. Step 5: Solve for x
    x = 92,814,923,716,754,720/146,274,336
  6. Step 6: Final answer
    x = 634,526,371.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.