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Finding the Third Proportional to 98,232.19 and 147,922.31

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Solution

The third proportional to 98,232.19 and 147,922.31 is: 222,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,232.19 : 147,922.31 = 147,922.31 : x
  2. Step 2: Convert to fraction form
    98,232.19/147,922.31 = 147,922.31/x
  3. Step 3: Cross multiply
    98,232.19x = 147,922.31 × 147,922.31
  4. Step 4: Simplify right side
    98,232.19x = 21,881,010,535.35
  5. Step 5: Solve for x
    x = 21,881,010,535.35/98,232.19
  6. Step 6: Final answer
    x = 222,747.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.