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Finding the Third Proportional to 98,701.88 and 144,367.31

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Solution

The third proportional to 98,701.88 and 144,367.31 is: 211,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,701.88 : 144,367.31 = 144,367.31 : x
  2. Step 2: Convert to fraction form
    98,701.88/144,367.31 = 144,367.31/x
  3. Step 3: Cross multiply
    98,701.88x = 144,367.31 × 144,367.31
  4. Step 4: Simplify right side
    98,701.88x = 20,841,920,918.47
  5. Step 5: Solve for x
    x = 20,841,920,918.47/98,701.88
  6. Step 6: Final answer
    x = 211,160.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.