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Finding the Third Proportional to 97,218 and 150,203

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Solution

The third proportional to 97,218 and 150,203 is: 232,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 150,203 = 150,203 : x
  2. Step 2: Convert to fraction form
    97,218/150,203 = 150,203/x
  3. Step 3: Cross multiply
    97,218x = 150,203 × 150,203
  4. Step 4: Simplify right side
    97,218x = 22,560,941,209
  5. Step 5: Solve for x
    x = 22,560,941,209/97,218
  6. Step 6: Final answer
    x = 232,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.