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Finding the Third Proportional to 98,467.31 and 144,600.19

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Solution

The third proportional to 98,467.31 and 144,600.19 is: 212,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467.31 : 144,600.19 = 144,600.19 : x
  2. Step 2: Convert to fraction form
    98,467.31/144,600.19 = 144,600.19/x
  3. Step 3: Cross multiply
    98,467.31x = 144,600.19 × 144,600.19
  4. Step 4: Simplify right side
    98,467.31x = 20,909,214,225.04
  5. Step 5: Solve for x
    x = 20,909,214,225.04/98,467.31
  6. Step 6: Final answer
    x = 212,346.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.