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Finding the Third Proportional to 108,077.81 and 236,223.19

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Solution

The third proportional to 108,077.81 and 236,223.19 is: 516,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,077.81 : 236,223.19 = 236,223.19 : x
  2. Step 2: Convert to fraction form
    108,077.81/236,223.19 = 236,223.19/x
  3. Step 3: Cross multiply
    108,077.81x = 236,223.19 × 236,223.19
  4. Step 4: Simplify right side
    108,077.81x = 55,801,394,312.66
  5. Step 5: Solve for x
    x = 55,801,394,312.66/108,077.81
  6. Step 6: Final answer
    x = 516,307.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.