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Finding the Third Proportional to 45,981 and 99,005.63

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Solution

The third proportional to 45,981 and 99,005.63 is: 213,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 99,005.63 = 99,005.63 : x
  2. Step 2: Convert to fraction form
    45,981/99,005.63 = 99,005.63/x
  3. Step 3: Cross multiply
    45,981x = 99,005.63 × 99,005.63
  4. Step 4: Simplify right side
    45,981x = 9,802,113,781.64
  5. Step 5: Solve for x
    x = 9,802,113,781.64/45,981
  6. Step 6: Final answer
    x = 213,177.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.