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Finding the Third Proportional to 135,947,072 and 207,821,758

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Solution

The third proportional to 135,947,072 and 207,821,758 is: 317,696,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,947,072 : 207,821,758 = 207,821,758 : x
  2. Step 2: Convert to fraction form
    135,947,072/207,821,758 = 207,821,758/x
  3. Step 3: Cross multiply
    135,947,072x = 207,821,758 × 207,821,758
  4. Step 4: Simplify right side
    135,947,072x = 43,189,883,098,210,560
  5. Step 5: Solve for x
    x = 43,189,883,098,210,560/135,947,072
  6. Step 6: Final answer
    x = 317,696,309.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.