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Finding the Third Proportional to 136,516.13 and 213,686.63

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Solution

The third proportional to 136,516.13 and 213,686.63 is: 334,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,516.13 : 213,686.63 = 213,686.63 : x
  2. Step 2: Convert to fraction form
    136,516.13/213,686.63 = 213,686.63/x
  3. Step 3: Cross multiply
    136,516.13x = 213,686.63 × 213,686.63
  4. Step 4: Simplify right side
    136,516.13x = 45,661,973,703.89
  5. Step 5: Solve for x
    x = 45,661,973,703.89/136,516.13
  6. Step 6: Final answer
    x = 334,480.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.