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Finding the Third Proportional to 100,776 and 219,971

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Solution

The third proportional to 100,776 and 219,971 is: 480,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,776 : 219,971 = 219,971 : x
  2. Step 2: Convert to fraction form
    100,776/219,971 = 219,971/x
  3. Step 3: Cross multiply
    100,776x = 219,971 × 219,971
  4. Step 4: Simplify right side
    100,776x = 48,387,240,841
  5. Step 5: Solve for x
    x = 48,387,240,841/100,776
  6. Step 6: Final answer
    x = 480,146.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.