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Finding the Third Proportional to 98,114.63 and 150,999.19

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Solution

The third proportional to 98,114.63 and 150,999.19 is: 232,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.63 : 150,999.19 = 150,999.19 : x
  2. Step 2: Convert to fraction form
    98,114.63/150,999.19 = 150,999.19/x
  3. Step 3: Cross multiply
    98,114.63x = 150,999.19 × 150,999.19
  4. Step 4: Simplify right side
    98,114.63x = 22,800,754,625.66
  5. Step 5: Solve for x
    x = 22,800,754,625.66/98,114.63
  6. Step 6: Final answer
    x = 232,388.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.