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Finding the Third Proportional to 99,364 and 147,696

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Solution

The third proportional to 99,364 and 147,696 is: 219,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,364 : 147,696 = 147,696 : x
  2. Step 2: Convert to fraction form
    99,364/147,696 = 147,696/x
  3. Step 3: Cross multiply
    99,364x = 147,696 × 147,696
  4. Step 4: Simplify right side
    99,364x = 21,814,108,416
  5. Step 5: Solve for x
    x = 21,814,108,416/99,364
  6. Step 6: Final answer
    x = 219,537.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.