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Finding the Third Proportional to 88,212 and 193,920

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Solution

The third proportional to 88,212 and 193,920 is: 426,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,212 : 193,920 = 193,920 : x
  2. Step 2: Convert to fraction form
    88,212/193,920 = 193,920/x
  3. Step 3: Cross multiply
    88,212x = 193,920 × 193,920
  4. Step 4: Simplify right side
    88,212x = 37,604,966,400
  5. Step 5: Solve for x
    x = 37,604,966,400/88,212
  6. Step 6: Final answer
    x = 426,302.16

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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.