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Finding the Third Proportional to 109,209.19 and 233,602.31

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Solution

The third proportional to 109,209.19 and 233,602.31 is: 499,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209.19 : 233,602.31 = 233,602.31 : x
  2. Step 2: Convert to fraction form
    109,209.19/233,602.31 = 233,602.31/x
  3. Step 3: Cross multiply
    109,209.19x = 233,602.31 × 233,602.31
  4. Step 4: Simplify right side
    109,209.19x = 54,570,040,405.35
  5. Step 5: Solve for x
    x = 54,570,040,405.35/109,209.19
  6. Step 6: Final answer
    x = 499,683.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.