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Finding the Third Proportional to 110,306.81 and 238,109.63

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Solution

The third proportional to 110,306.81 and 238,109.63 is: 513,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,306.81 : 238,109.63 = 238,109.63 : x
  2. Step 2: Convert to fraction form
    110,306.81/238,109.63 = 238,109.63/x
  3. Step 3: Cross multiply
    110,306.81x = 238,109.63 × 238,109.63
  4. Step 4: Simplify right side
    110,306.81x = 56,696,193,517.64
  5. Step 5: Solve for x
    x = 56,696,193,517.64/110,306.81
  6. Step 6: Final answer
    x = 513,986.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.