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Finding the Third Proportional to 98,233.50 and 212,116.50

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Solution

The third proportional to 98,233.50 and 212,116.50 is: 458,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.50 : 212,116.50 = 212,116.50 : x
  2. Step 2: Convert to fraction form
    98,233.50/212,116.50 = 212,116.50/x
  3. Step 3: Cross multiply
    98,233.50x = 212,116.50 × 212,116.50
  4. Step 4: Simplify right side
    98,233.50x = 44,993,409,572.25
  5. Step 5: Solve for x
    x = 44,993,409,572.25/98,233.50
  6. Step 6: Final answer
    x = 458,025.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.