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Finding the Third Proportional to 122,479,449.47 and 181,423,231.73

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Solution

The third proportional to 122,479,449.47 and 181,423,231.73 is: 268,733,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,479,449.47 : 181,423,231.73 = 181,423,231.73 : x
  2. Step 2: Convert to fraction form
    122,479,449.47/181,423,231.73 = 181,423,231.73/x
  3. Step 3: Cross multiply
    122,479,449.47x = 181,423,231.73 × 181,423,231.73
  4. Step 4: Simplify right side
    122,479,449.47x = 32,914,389,012,946,548
  5. Step 5: Solve for x
    x = 32,914,389,012,946,548/122,479,449.47
  6. Step 6: Final answer
    x = 268,733,972.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.