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Finding the Third Proportional to 108,909.84 and 235,918.69

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Solution

The third proportional to 108,909.84 and 235,918.69 is: 511,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,909.84 : 235,918.69 = 235,918.69 : x
  2. Step 2: Convert to fraction form
    108,909.84/235,918.69 = 235,918.69/x
  3. Step 3: Cross multiply
    108,909.84x = 235,918.69 × 235,918.69
  4. Step 4: Simplify right side
    108,909.84x = 55,657,627,111.72
  5. Step 5: Solve for x
    x = 55,657,627,111.72/108,909.84
  6. Step 6: Final answer
    x = 511,043.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.