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Finding the Third Proportional to 96,850.50 and 205,424.50

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Solution

The third proportional to 96,850.50 and 205,424.50 is: 435,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850.50 : 205,424.50 = 205,424.50 : x
  2. Step 2: Convert to fraction form
    96,850.50/205,424.50 = 205,424.50/x
  3. Step 3: Cross multiply
    96,850.50x = 205,424.50 × 205,424.50
  4. Step 4: Simplify right side
    96,850.50x = 42,199,225,200.25
  5. Step 5: Solve for x
    x = 42,199,225,200.25/96,850.50
  6. Step 6: Final answer
    x = 435,715.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.