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Finding the Third Proportional to 99,216 and 234,164

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Solution

The third proportional to 99,216 and 234,164 is: 552,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,216 : 234,164 = 234,164 : x
  2. Step 2: Convert to fraction form
    99,216/234,164 = 234,164/x
  3. Step 3: Cross multiply
    99,216x = 234,164 × 234,164
  4. Step 4: Simplify right side
    99,216x = 54,832,778,896
  5. Step 5: Solve for x
    x = 54,832,778,896/99,216
  6. Step 6: Final answer
    x = 552,660.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.