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Finding the Third Proportional to 281,971,390 and 431,061,540

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Solution

The third proportional to 281,971,390 and 431,061,540 is: 658,981,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,971,390 : 431,061,540 = 431,061,540 : x
  2. Step 2: Convert to fraction form
    281,971,390/431,061,540 = 431,061,540/x
  3. Step 3: Cross multiply
    281,971,390x = 431,061,540 × 431,061,540
  4. Step 4: Simplify right side
    281,971,390x = 185,814,051,267,171,584
  5. Step 5: Solve for x
    x = 185,814,051,267,171,584/281,971,390
  6. Step 6: Final answer
    x = 658,981,931.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.