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Finding the Third Proportional to 99,789 and 146,763

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Solution

The third proportional to 99,789 and 146,763 is: 215,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,789 : 146,763 = 146,763 : x
  2. Step 2: Convert to fraction form
    99,789/146,763 = 146,763/x
  3. Step 3: Cross multiply
    99,789x = 146,763 × 146,763
  4. Step 4: Simplify right side
    99,789x = 21,539,378,169
  5. Step 5: Solve for x
    x = 21,539,378,169/99,789
  6. Step 6: Final answer
    x = 215,849.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.