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Finding the Third Proportional to 175,727,074 and 365,998,832

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Solution

The third proportional to 175,727,074 and 365,998,832 is: 762,290,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,727,074 : 365,998,832 = 365,998,832 : x
  2. Step 2: Convert to fraction form
    175,727,074/365,998,832 = 365,998,832/x
  3. Step 3: Cross multiply
    175,727,074x = 365,998,832 × 365,998,832
  4. Step 4: Simplify right side
    175,727,074x = 133,955,145,025,364,224
  5. Step 5: Solve for x
    x = 133,955,145,025,364,224/175,727,074
  6. Step 6: Final answer
    x = 762,290,875.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.