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Finding the Third Proportional to 125,974,379.25 and 180,143,574.75

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Solution

The third proportional to 125,974,379.25 and 180,143,574.75 is: 257,605,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,379.25 : 180,143,574.75 = 180,143,574.75 : x
  2. Step 2: Convert to fraction form
    125,974,379.25/180,143,574.75 = 180,143,574.75/x
  3. Step 3: Cross multiply
    125,974,379.25x = 180,143,574.75 × 180,143,574.75
  4. Step 4: Simplify right side
    125,974,379.25x = 32,451,707,523,708,836
  5. Step 5: Solve for x
    x = 32,451,707,523,708,836/125,974,379.25
  6. Step 6: Final answer
    x = 257,605,615.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.