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Finding the Third Proportional to 92,312.16 and 198,748.69

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Solution

The third proportional to 92,312.16 and 198,748.69 is: 427,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,312.16 : 198,748.69 = 198,748.69 : x
  2. Step 2: Convert to fraction form
    92,312.16/198,748.69 = 198,748.69/x
  3. Step 3: Cross multiply
    92,312.16x = 198,748.69 × 198,748.69
  4. Step 4: Simplify right side
    92,312.16x = 39,501,040,782.97
  5. Step 5: Solve for x
    x = 39,501,040,782.97/92,312.16
  6. Step 6: Final answer
    x = 427,907.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.