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Finding the Third Proportional to 92,461.50 and 198,031.50

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Solution

The third proportional to 92,461.50 and 198,031.50 is: 424,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,461.50 : 198,031.50 = 198,031.50 : x
  2. Step 2: Convert to fraction form
    92,461.50/198,031.50 = 198,031.50/x
  3. Step 3: Cross multiply
    92,461.50x = 198,031.50 × 198,031.50
  4. Step 4: Simplify right side
    92,461.50x = 39,216,474,992.25
  5. Step 5: Solve for x
    x = 39,216,474,992.25/92,461.50
  6. Step 6: Final answer
    x = 424,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.