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Finding the Third Proportional to 157,024,327 and 260,797,452

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Solution

The third proportional to 157,024,327 and 260,797,452 is: 433,151,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,024,327 : 260,797,452 = 260,797,452 : x
  2. Step 2: Convert to fraction form
    157,024,327/260,797,452 = 260,797,452/x
  3. Step 3: Cross multiply
    157,024,327x = 260,797,452 × 260,797,452
  4. Step 4: Simplify right side
    157,024,327x = 68,015,310,969,692,304
  5. Step 5: Solve for x
    x = 68,015,310,969,692,304/157,024,327
  6. Step 6: Final answer
    x = 433,151,424.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.