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Finding the Third Proportional to 97,283 and 213,019

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Solution

The third proportional to 97,283 and 213,019 is: 466,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283 : 213,019 = 213,019 : x
  2. Step 2: Convert to fraction form
    97,283/213,019 = 213,019/x
  3. Step 3: Cross multiply
    97,283x = 213,019 × 213,019
  4. Step 4: Simplify right side
    97,283x = 45,377,094,361
  5. Step 5: Solve for x
    x = 45,377,094,361/97,283
  6. Step 6: Final answer
    x = 466,444.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.