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Finding the Third Proportional to 98,330 and 212,164

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Solution

The third proportional to 98,330 and 212,164 is: 457,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,330 : 212,164 = 212,164 : x
  2. Step 2: Convert to fraction form
    98,330/212,164 = 212,164/x
  3. Step 3: Cross multiply
    98,330x = 212,164 × 212,164
  4. Step 4: Simplify right side
    98,330x = 45,013,562,896
  5. Step 5: Solve for x
    x = 45,013,562,896/98,330
  6. Step 6: Final answer
    x = 457,780.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.