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Finding the Third Proportional to 88,167.75 and 208,095.75

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Solution

The third proportional to 88,167.75 and 208,095.75 is: 491,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,167.75 : 208,095.75 = 208,095.75 : x
  2. Step 2: Convert to fraction form
    88,167.75/208,095.75 = 208,095.75/x
  3. Step 3: Cross multiply
    88,167.75x = 208,095.75 × 208,095.75
  4. Step 4: Simplify right side
    88,167.75x = 43,303,841,168.06
  5. Step 5: Solve for x
    x = 43,303,841,168.06/88,167.75
  6. Step 6: Final answer
    x = 491,152.84

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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.