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Finding the Third Proportional to 136,333.13 and 209,278.69

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Solution

The third proportional to 136,333.13 and 209,278.69 is: 321,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,333.13 : 209,278.69 = 209,278.69 : x
  2. Step 2: Convert to fraction form
    136,333.13/209,278.69 = 209,278.69/x
  3. Step 3: Cross multiply
    136,333.13x = 209,278.69 × 209,278.69
  4. Step 4: Simplify right side
    136,333.13x = 43,797,569,041.72
  5. Step 5: Solve for x
    x = 43,797,569,041.72/136,333.13
  6. Step 6: Final answer
    x = 321,254.05

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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.