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Finding the Third Proportional to 98,174.25 and 212,014.50

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Solution

The third proportional to 98,174.25 and 212,014.50 is: 457,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,174.25 : 212,014.50 = 212,014.50 : x
  2. Step 2: Convert to fraction form
    98,174.25/212,014.50 = 212,014.50/x
  3. Step 3: Cross multiply
    98,174.25x = 212,014.50 × 212,014.50
  4. Step 4: Simplify right side
    98,174.25x = 44,950,148,210.25
  5. Step 5: Solve for x
    x = 44,950,148,210.25/98,174.25
  6. Step 6: Final answer
    x = 457,860.88

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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.