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Finding the Third Proportional to 175,726,269 and 365,997,295

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Solution

The third proportional to 175,726,269 and 365,997,295 is: 762,287,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,269 : 365,997,295 = 365,997,295 : x
  2. Step 2: Convert to fraction form
    175,726,269/365,997,295 = 365,997,295/x
  3. Step 3: Cross multiply
    175,726,269x = 365,997,295 × 365,997,295
  4. Step 4: Simplify right side
    175,726,269x = 133,954,019,947,317,024
  5. Step 5: Solve for x
    x = 133,954,019,947,317,024/175,726,269
  6. Step 6: Final answer
    x = 762,287,964.74

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