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Finding the Third Proportional to 146,274,344 and 304,655,436

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Solution

The third proportional to 146,274,344 and 304,655,436 is: 634,526,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274,344 : 304,655,436 = 304,655,436 : x
  2. Step 2: Convert to fraction form
    146,274,344/304,655,436 = 304,655,436/x
  3. Step 3: Cross multiply
    146,274,344x = 304,655,436 × 304,655,436
  4. Step 4: Simplify right side
    146,274,344x = 92,814,934,684,350,096
  5. Step 5: Solve for x
    x = 92,814,934,684,350,096/146,274,344
  6. Step 6: Final answer
    x = 634,526,412.13

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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.