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Finding the Third Proportional to 285,534,504 and 385,253,086.50

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Solution

The third proportional to 285,534,504 and 385,253,086.50 is: 519,796,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,504 : 385,253,086.50 = 385,253,086.50 : x
  2. Step 2: Convert to fraction form
    285,534,504/385,253,086.50 = 385,253,086.50/x
  3. Step 3: Cross multiply
    285,534,504x = 385,253,086.50 × 385,253,086.50
  4. Step 4: Simplify right side
    285,534,504x = 148,419,940,657,776,480
  5. Step 5: Solve for x
    x = 148,419,940,657,776,480/285,534,504
  6. Step 6: Final answer
    x = 519,796,867.20

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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.