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Finding the Third Proportional to 97,218.19 and 202,196.25

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Solution

The third proportional to 97,218.19 and 202,196.25 is: 420,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218.19 : 202,196.25 = 202,196.25 : x
  2. Step 2: Convert to fraction form
    97,218.19/202,196.25 = 202,196.25/x
  3. Step 3: Cross multiply
    97,218.19x = 202,196.25 × 202,196.25
  4. Step 4: Simplify right side
    97,218.19x = 40,883,323,514.06
  5. Step 5: Solve for x
    x = 40,883,323,514.06/97,218.19
  6. Step 6: Final answer
    x = 420,531.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.