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Finding the Third Proportional to 98,151.75 and 211,971.94

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Solution

The third proportional to 98,151.75 and 211,971.94 is: 457,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,151.75 : 211,971.94 = 211,971.94 : x
  2. Step 2: Convert to fraction form
    98,151.75/211,971.94 = 211,971.94/x
  3. Step 3: Cross multiply
    98,151.75x = 211,971.94 × 211,971.94
  4. Step 4: Simplify right side
    98,151.75x = 44,932,102,287.50
  5. Step 5: Solve for x
    x = 44,932,102,287.50/98,151.75
  6. Step 6: Final answer
    x = 457,781.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.