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Finding the Third Proportional to 97,166 and 212,331

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Solution

The third proportional to 97,166 and 212,331 is: 463,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,166 : 212,331 = 212,331 : x
  2. Step 2: Convert to fraction form
    97,166/212,331 = 212,331/x
  3. Step 3: Cross multiply
    97,166x = 212,331 × 212,331
  4. Step 4: Simplify right side
    97,166x = 45,084,453,561
  5. Step 5: Solve for x
    x = 45,084,453,561/97,166
  6. Step 6: Final answer
    x = 463,994.13

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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.