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Finding the Third Proportional to 96,643.69 and 145,148.06

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Solution

The third proportional to 96,643.69 and 145,148.06 is: 217,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.69 : 145,148.06 = 145,148.06 : x
  2. Step 2: Convert to fraction form
    96,643.69/145,148.06 = 145,148.06/x
  3. Step 3: Cross multiply
    96,643.69x = 145,148.06 × 145,148.06
  4. Step 4: Simplify right side
    96,643.69x = 21,067,960,047.50
  5. Step 5: Solve for x
    x = 21,067,960,047.50/96,643.69
  6. Step 6: Final answer
    x = 217,996.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.