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Finding the Third Proportional to 281,971,388 and 431,061,537

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Solution

The third proportional to 281,971,388 and 431,061,537 is: 658,981,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,971,388 : 431,061,537 = 431,061,537 : x
  2. Step 2: Convert to fraction form
    281,971,388/431,061,537 = 431,061,537/x
  3. Step 3: Cross multiply
    281,971,388x = 431,061,537 × 431,061,537
  4. Step 4: Simplify right side
    281,971,388x = 185,814,048,680,802,368
  5. Step 5: Solve for x
    x = 185,814,048,680,802,368/281,971,388
  6. Step 6: Final answer
    x = 658,981,927.20

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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.