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Finding the Third Proportional to 97,748.02 and 214,177.92

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Solution

The third proportional to 97,748.02 and 214,177.92 is: 469,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,748.02 : 214,177.92 = 214,177.92 : x
  2. Step 2: Convert to fraction form
    97,748.02/214,177.92 = 214,177.92/x
  3. Step 3: Cross multiply
    97,748.02x = 214,177.92 × 214,177.92
  4. Step 4: Simplify right side
    97,748.02x = 45,872,182,218.69
  5. Step 5: Solve for x
    x = 45,872,182,218.69/97,748.02
  6. Step 6: Final answer
    x = 469,290.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.