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Finding the Third Proportional to 92,352 and 198,829.50

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Solution

The third proportional to 92,352 and 198,829.50 is: 428,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 198,829.50 = 198,829.50 : x
  2. Step 2: Convert to fraction form
    92,352/198,829.50 = 198,829.50/x
  3. Step 3: Cross multiply
    92,352x = 198,829.50 × 198,829.50
  4. Step 4: Simplify right side
    92,352x = 39,533,170,070.25
  5. Step 5: Solve for x
    x = 39,533,170,070.25/92,352
  6. Step 6: Final answer
    x = 428,070.54

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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.