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Finding the Third Proportional to 175,726,231 and 365,997,213

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Solution

The third proportional to 175,726,231 and 365,997,213 is: 762,287,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,231 : 365,997,213 = 365,997,213 : x
  2. Step 2: Convert to fraction form
    175,726,231/365,997,213 = 365,997,213/x
  3. Step 3: Cross multiply
    175,726,231x = 365,997,213 × 365,997,213
  4. Step 4: Simplify right side
    175,726,231x = 133,953,959,923,767,376
  5. Step 5: Solve for x
    x = 133,953,959,923,767,376/175,726,231
  6. Step 6: Final answer
    x = 762,287,788.01

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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.