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Finding the Third Proportional to 92,421 and 199,573.50

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Solution

The third proportional to 92,421 and 199,573.50 is: 430,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,421 : 199,573.50 = 199,573.50 : x
  2. Step 2: Convert to fraction form
    92,421/199,573.50 = 199,573.50/x
  3. Step 3: Cross multiply
    92,421x = 199,573.50 × 199,573.50
  4. Step 4: Simplify right side
    92,421x = 39,829,581,902.25
  5. Step 5: Solve for x
    x = 39,829,581,902.25/92,421
  6. Step 6: Final answer
    x = 430,958.14

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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.