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Finding the Third Proportional to 109,684.13 and 238,114.69

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Solution

The third proportional to 109,684.13 and 238,114.69 is: 516,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,684.13 : 238,114.69 = 238,114.69 : x
  2. Step 2: Convert to fraction form
    109,684.13/238,114.69 = 238,114.69/x
  3. Step 3: Cross multiply
    109,684.13x = 238,114.69 × 238,114.69
  4. Step 4: Simplify right side
    109,684.13x = 56,698,604,403.22
  5. Step 5: Solve for x
    x = 56,698,604,403.22/109,684.13
  6. Step 6: Final answer
    x = 516,926.26

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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.