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Finding the Third Proportional to 110,215.69 and 234,851.91

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Solution

The third proportional to 110,215.69 and 234,851.91 is: 500,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,215.69 : 234,851.91 = 234,851.91 : x
  2. Step 2: Convert to fraction form
    110,215.69/234,851.91 = 234,851.91/x
  3. Step 3: Cross multiply
    110,215.69x = 234,851.91 × 234,851.91
  4. Step 4: Simplify right side
    110,215.69x = 55,155,417,869.26
  5. Step 5: Solve for x
    x = 55,155,417,869.26/110,215.69
  6. Step 6: Final answer
    x = 500,431.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.