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Finding the Third Proportional to 96,098.25 and 146,516.25

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Solution

The third proportional to 96,098.25 and 146,516.25 is: 223,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,098.25 : 146,516.25 = 146,516.25 : x
  2. Step 2: Convert to fraction form
    96,098.25/146,516.25 = 146,516.25/x
  3. Step 3: Cross multiply
    96,098.25x = 146,516.25 × 146,516.25
  4. Step 4: Simplify right side
    96,098.25x = 21,467,011,514.06
  5. Step 5: Solve for x
    x = 21,467,011,514.06/96,098.25
  6. Step 6: Final answer
    x = 223,386.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.