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Finding the Third Proportional to 92,598.19 and 202,419

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Solution

The third proportional to 92,598.19 and 202,419 is: 442,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,598.19 : 202,419 = 202,419 : x
  2. Step 2: Convert to fraction form
    92,598.19/202,419 = 202,419/x
  3. Step 3: Cross multiply
    92,598.19x = 202,419 × 202,419
  4. Step 4: Simplify right side
    92,598.19x = 40,973,451,561
  5. Step 5: Solve for x
    x = 40,973,451,561/92,598.19
  6. Step 6: Final answer
    x = 442,486.54

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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.