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Finding the Third Proportional to 285,534,517.50 and 385,253,106.75

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Solution

The third proportional to 285,534,517.50 and 385,253,106.75 is: 519,796,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,517.50 : 385,253,106.75 = 385,253,106.75 : x
  2. Step 2: Convert to fraction form
    285,534,517.50/385,253,106.75 = 385,253,106.75/x
  3. Step 3: Cross multiply
    285,534,517.50x = 385,253,106.75 × 385,253,106.75
  4. Step 4: Simplify right side
    285,534,517.50x = 148,419,956,260,526,880
  5. Step 5: Solve for x
    x = 148,419,956,260,526,880/285,534,517.50
  6. Step 6: Final answer
    x = 519,796,897.27

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