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Finding the Third Proportional to 97,230.38 and 209,223

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Solution

The third proportional to 97,230.38 and 209,223 is: 450,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,230.38 : 209,223 = 209,223 : x
  2. Step 2: Convert to fraction form
    97,230.38/209,223 = 209,223/x
  3. Step 3: Cross multiply
    97,230.38x = 209,223 × 209,223
  4. Step 4: Simplify right side
    97,230.38x = 43,774,263,729
  5. Step 5: Solve for x
    x = 43,774,263,729/97,230.38
  6. Step 6: Final answer
    x = 450,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.