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Finding the Third Proportional to 116,461.13 and 163,959.19

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Solution

The third proportional to 116,461.13 and 163,959.19 is: 230,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.13 : 163,959.19 = 163,959.19 : x
  2. Step 2: Convert to fraction form
    116,461.13/163,959.19 = 163,959.19/x
  3. Step 3: Cross multiply
    116,461.13x = 163,959.19 × 163,959.19
  4. Step 4: Simplify right side
    116,461.13x = 26,882,615,165.66
  5. Step 5: Solve for x
    x = 26,882,615,165.66/116,461.13
  6. Step 6: Final answer
    x = 230,829.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.