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Finding the Third Proportional to 88,968 and 195,430

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Solution

The third proportional to 88,968 and 195,430 is: 429,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,968 : 195,430 = 195,430 : x
  2. Step 2: Convert to fraction form
    88,968/195,430 = 195,430/x
  3. Step 3: Cross multiply
    88,968x = 195,430 × 195,430
  4. Step 4: Simplify right side
    88,968x = 38,192,884,900
  5. Step 5: Solve for x
    x = 38,192,884,900/88,968
  6. Step 6: Final answer
    x = 429,287.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.