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Finding the Third Proportional to 137,219.06 and 211,177.13

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Solution

The third proportional to 137,219.06 and 211,177.13 is: 324,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.06 : 211,177.13 = 211,177.13 : x
  2. Step 2: Convert to fraction form
    137,219.06/211,177.13 = 211,177.13/x
  3. Step 3: Cross multiply
    137,219.06x = 211,177.13 × 211,177.13
  4. Step 4: Simplify right side
    137,219.06x = 44,595,778,123.27
  5. Step 5: Solve for x
    x = 44,595,778,123.27/137,219.06
  6. Step 6: Final answer
    x = 324,996.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.