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Finding the Third Proportional to 122,806,023.75 and 266,332,542.75

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Solution

The third proportional to 122,806,023.75 and 266,332,542.75 is: 577,602,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806,023.75 : 266,332,542.75 = 266,332,542.75 : x
  2. Step 2: Convert to fraction form
    122,806,023.75/266,332,542.75 = 266,332,542.75/x
  3. Step 3: Cross multiply
    122,806,023.75x = 266,332,542.75 × 266,332,542.75
  4. Step 4: Simplify right side
    122,806,023.75x = 70,933,023,327,680,576
  5. Step 5: Solve for x
    x = 70,933,023,327,680,576/122,806,023.75
  6. Step 6: Final answer
    x = 577,602,149.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.