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Finding the Third Proportional to 98,092 and 211,736

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Solution

The third proportional to 98,092 and 211,736 is: 457,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092 : 211,736 = 211,736 : x
  2. Step 2: Convert to fraction form
    98,092/211,736 = 211,736/x
  3. Step 3: Cross multiply
    98,092x = 211,736 × 211,736
  4. Step 4: Simplify right side
    98,092x = 44,832,133,696
  5. Step 5: Solve for x
    x = 44,832,133,696/98,092
  6. Step 6: Final answer
    x = 457,041.69

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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.