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Finding the Third Proportional to 98,222.25 and 212,095.50

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Solution

The third proportional to 98,222.25 and 212,095.50 is: 457,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,222.25 : 212,095.50 = 212,095.50 : x
  2. Step 2: Convert to fraction form
    98,222.25/212,095.50 = 212,095.50/x
  3. Step 3: Cross multiply
    98,222.25x = 212,095.50 × 212,095.50
  4. Step 4: Simplify right side
    98,222.25x = 44,984,501,120.25
  5. Step 5: Solve for x
    x = 44,984,501,120.25/98,222.25
  6. Step 6: Final answer
    x = 457,986.87

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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.