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Finding the Third Proportional to 97,314.75 and 211,244.63

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Solution

The third proportional to 97,314.75 and 211,244.63 is: 458,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.75 : 211,244.63 = 211,244.63 : x
  2. Step 2: Convert to fraction form
    97,314.75/211,244.63 = 211,244.63/x
  3. Step 3: Cross multiply
    97,314.75x = 211,244.63 × 211,244.63
  4. Step 4: Simplify right side
    97,314.75x = 44,624,291,591.39
  5. Step 5: Solve for x
    x = 44,624,291,591.39/97,314.75
  6. Step 6: Final answer
    x = 458,556.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.