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Finding the Third Proportional to 45,706 and 99,796

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Solution

The third proportional to 45,706 and 99,796 is: 217,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,706 : 99,796 = 99,796 : x
  2. Step 2: Convert to fraction form
    45,706/99,796 = 99,796/x
  3. Step 3: Cross multiply
    45,706x = 99,796 × 99,796
  4. Step 4: Simplify right side
    45,706x = 9,959,241,616
  5. Step 5: Solve for x
    x = 9,959,241,616/45,706
  6. Step 6: Final answer
    x = 217,897.90

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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.