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Finding the Third Proportional to 99,211 and 234,153

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Solution

The third proportional to 99,211 and 234,153 is: 552,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,211 : 234,153 = 234,153 : x
  2. Step 2: Convert to fraction form
    99,211/234,153 = 234,153/x
  3. Step 3: Cross multiply
    99,211x = 234,153 × 234,153
  4. Step 4: Simplify right side
    99,211x = 54,827,627,409
  5. Step 5: Solve for x
    x = 54,827,627,409/99,211
  6. Step 6: Final answer
    x = 552,636.58

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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.