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Finding the Third Proportional to 193,098.50 and 403,851.50

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Solution

The third proportional to 193,098.50 and 403,851.50 is: 844,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,098.50 : 403,851.50 = 403,851.50 : x
  2. Step 2: Convert to fraction form
    193,098.50/403,851.50 = 403,851.50/x
  3. Step 3: Cross multiply
    193,098.50x = 403,851.50 × 403,851.50
  4. Step 4: Simplify right side
    193,098.50x = 163,096,034,052.25
  5. Step 5: Solve for x
    x = 163,096,034,052.25/193,098.50
  6. Step 6: Final answer
    x = 844,626.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.