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Finding the Third Proportional to 97,748.65 and 214,180.77

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Solution

The third proportional to 97,748.65 and 214,180.77 is: 469,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,748.65 : 214,180.77 = 214,180.77 : x
  2. Step 2: Convert to fraction form
    97,748.65/214,180.77 = 214,180.77/x
  3. Step 3: Cross multiply
    97,748.65x = 214,180.77 × 214,180.77
  4. Step 4: Simplify right side
    97,748.65x = 45,873,402,037.00
  5. Step 5: Solve for x
    x = 45,873,402,037.00/97,748.65
  6. Step 6: Final answer
    x = 469,299.60

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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.