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Finding the Third Proportional to 146,274,472 and 304,655,688

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Solution

The third proportional to 146,274,472 and 304,655,688 is: 634,526,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274,472 : 304,655,688 = 304,655,688 : x
  2. Step 2: Convert to fraction form
    146,274,472/304,655,688 = 304,655,688/x
  3. Step 3: Cross multiply
    146,274,472x = 304,655,688 × 304,655,688
  4. Step 4: Simplify right side
    146,274,472x = 92,815,088,230,753,344
  5. Step 5: Solve for x
    x = 92,815,088,230,753,344/146,274,472
  6. Step 6: Final answer
    x = 634,526,906.59

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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.