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Finding the Third Proportional to 92,323 and 198,769.50

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Solution

The third proportional to 92,323 and 198,769.50 is: 427,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323 : 198,769.50 = 198,769.50 : x
  2. Step 2: Convert to fraction form
    92,323/198,769.50 = 198,769.50/x
  3. Step 3: Cross multiply
    92,323x = 198,769.50 × 198,769.50
  4. Step 4: Simplify right side
    92,323x = 39,509,314,130.25
  5. Step 5: Solve for x
    x = 39,509,314,130.25/92,323
  6. Step 6: Final answer
    x = 427,946.60

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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.