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Finding the Third Proportional to 88,165.50 and 208,091

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Solution

The third proportional to 88,165.50 and 208,091 is: 491,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,165.50 : 208,091 = 208,091 : x
  2. Step 2: Convert to fraction form
    88,165.50/208,091 = 208,091/x
  3. Step 3: Cross multiply
    88,165.50x = 208,091 × 208,091
  4. Step 4: Simplify right side
    88,165.50x = 43,301,864,281
  5. Step 5: Solve for x
    x = 43,301,864,281/88,165.50
  6. Step 6: Final answer
    x = 491,142.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.