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Finding the Third Proportional to 98,442 and 214,926.75

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Solution

The third proportional to 98,442 and 214,926.75 is: 469,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 214,926.75 = 214,926.75 : x
  2. Step 2: Convert to fraction form
    98,442/214,926.75 = 214,926.75/x
  3. Step 3: Cross multiply
    98,442x = 214,926.75 × 214,926.75
  4. Step 4: Simplify right side
    98,442x = 46,193,507,865.56
  5. Step 5: Solve for x
    x = 46,193,507,865.56/98,442
  6. Step 6: Final answer
    x = 469,245.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.