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Finding the Third Proportional to 98,882 and 212,164

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Solution

The third proportional to 98,882 and 212,164 is: 455,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882 : 212,164 = 212,164 : x
  2. Step 2: Convert to fraction form
    98,882/212,164 = 212,164/x
  3. Step 3: Cross multiply
    98,882x = 212,164 × 212,164
  4. Step 4: Simplify right side
    98,882x = 45,013,562,896
  5. Step 5: Solve for x
    x = 45,013,562,896/98,882
  6. Step 6: Final answer
    x = 455,225.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.