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Finding the Third Proportional to 285,534,524 and 385,253,111.50

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Solution

The third proportional to 285,534,524 and 385,253,111.50 is: 519,796,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,524 : 385,253,111.50 = 385,253,111.50 : x
  2. Step 2: Convert to fraction form
    285,534,524/385,253,111.50 = 385,253,111.50/x
  3. Step 3: Cross multiply
    285,534,524x = 385,253,111.50 × 385,253,111.50
  4. Step 4: Simplify right side
    285,534,524x = 148,419,959,920,431,424
  5. Step 5: Solve for x
    x = 148,419,959,920,431,424/285,534,524
  6. Step 6: Final answer
    x = 519,796,898.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.