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Finding the Third Proportional to 92,232 and 198,993.38

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Solution

The third proportional to 92,232 and 198,993.38 is: 429,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,232 : 198,993.38 = 198,993.38 : x
  2. Step 2: Convert to fraction form
    92,232/198,993.38 = 198,993.38/x
  3. Step 3: Cross multiply
    92,232x = 198,993.38 × 198,993.38
  4. Step 4: Simplify right side
    92,232x = 39,598,363,293.89
  5. Step 5: Solve for x
    x = 39,598,363,293.89/92,232
  6. Step 6: Final answer
    x = 429,334.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.