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Finding the Third Proportional to 98,211 and 200,557.50

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Solution

The third proportional to 98,211 and 200,557.50 is: 409,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,211 : 200,557.50 = 200,557.50 : x
  2. Step 2: Convert to fraction form
    98,211/200,557.50 = 200,557.50/x
  3. Step 3: Cross multiply
    98,211x = 200,557.50 × 200,557.50
  4. Step 4: Simplify right side
    98,211x = 40,223,310,806.25
  5. Step 5: Solve for x
    x = 40,223,310,806.25/98,211
  6. Step 6: Final answer
    x = 409,560.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.