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Finding the Third Proportional to 98,903 and 214,222

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Solution

The third proportional to 98,903 and 214,222 is: 464,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903 : 214,222 = 214,222 : x
  2. Step 2: Convert to fraction form
    98,903/214,222 = 214,222/x
  3. Step 3: Cross multiply
    98,903x = 214,222 × 214,222
  4. Step 4: Simplify right side
    98,903x = 45,891,065,284
  5. Step 5: Solve for x
    x = 45,891,065,284/98,903
  6. Step 6: Final answer
    x = 464,000.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.