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Finding the Third Proportional to 88,476 and 193,563

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Solution

The third proportional to 88,476 and 193,563 is: 423,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,476 : 193,563 = 193,563 : x
  2. Step 2: Convert to fraction form
    88,476/193,563 = 193,563/x
  3. Step 3: Cross multiply
    88,476x = 193,563 × 193,563
  4. Step 4: Simplify right side
    88,476x = 37,466,634,969
  5. Step 5: Solve for x
    x = 37,466,634,969/88,476
  6. Step 6: Final answer
    x = 423,466.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.