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Finding the Third Proportional to 88,820 and 193,306

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Solution

The third proportional to 88,820 and 193,306 is: 420,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,820 : 193,306 = 193,306 : x
  2. Step 2: Convert to fraction form
    88,820/193,306 = 193,306/x
  3. Step 3: Cross multiply
    88,820x = 193,306 × 193,306
  4. Step 4: Simplify right side
    88,820x = 37,367,209,636
  5. Step 5: Solve for x
    x = 37,367,209,636/88,820
  6. Step 6: Final answer
    x = 420,707.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.