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Finding the Third Proportional to 175,334,049 and 381,186,805.50

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Solution

The third proportional to 175,334,049 and 381,186,805.50 is: 828,723,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,334,049 : 381,186,805.50 = 381,186,805.50 : x
  2. Step 2: Convert to fraction form
    175,334,049/381,186,805.50 = 381,186,805.50/x
  3. Step 3: Cross multiply
    175,334,049x = 381,186,805.50 × 381,186,805.50
  4. Step 4: Simplify right side
    175,334,049x = 145,303,380,687,294,816
  5. Step 5: Solve for x
    x = 145,303,380,687,294,816/175,334,049
  6. Step 6: Final answer
    x = 828,723,123.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.