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Finding the Third Proportional to 88,196 and 193,952

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Solution

The third proportional to 88,196 and 193,952 is: 426,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,196 : 193,952 = 193,952 : x
  2. Step 2: Convert to fraction form
    88,196/193,952 = 193,952/x
  3. Step 3: Cross multiply
    88,196x = 193,952 × 193,952
  4. Step 4: Simplify right side
    88,196x = 37,617,378,304
  5. Step 5: Solve for x
    x = 37,617,378,304/88,196
  6. Step 6: Final answer
    x = 426,520.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.