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Finding the Third Proportional to 61,207,265.25 and 129,322,473.75

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Solution

The third proportional to 61,207,265.25 and 129,322,473.75 is: 273,240,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,207,265.25 : 129,322,473.75 = 129,322,473.75 : x
  2. Step 2: Convert to fraction form
    61,207,265.25/129,322,473.75 = 129,322,473.75/x
  3. Step 3: Cross multiply
    61,207,265.25x = 129,322,473.75 × 129,322,473.75
  4. Step 4: Simplify right side
    61,207,265.25x = 16,724,302,216,819,440
  5. Step 5: Solve for x
    x = 16,724,302,216,819,440/61,207,265.25
  6. Step 6: Final answer
    x = 273,240,474.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.