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Finding the Third Proportional to 97,323.19 and 211,170.38

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Solution

The third proportional to 97,323.19 and 211,170.38 is: 458,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,323.19 : 211,170.38 = 211,170.38 : x
  2. Step 2: Convert to fraction form
    97,323.19/211,170.38 = 211,170.38/x
  3. Step 3: Cross multiply
    97,323.19x = 211,170.38 × 211,170.38
  4. Step 4: Simplify right side
    97,323.19x = 44,592,927,277.64
  5. Step 5: Solve for x
    x = 44,592,927,277.64/97,323.19
  6. Step 6: Final answer
    x = 458,194.27

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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.