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Finding the Third Proportional to 97,229 and 212,508

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Solution

The third proportional to 97,229 and 212,508 is: 464,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,229 : 212,508 = 212,508 : x
  2. Step 2: Convert to fraction form
    97,229/212,508 = 212,508/x
  3. Step 3: Cross multiply
    97,229x = 212,508 × 212,508
  4. Step 4: Simplify right side
    97,229x = 45,159,650,064
  5. Step 5: Solve for x
    x = 45,159,650,064/97,229
  6. Step 6: Final answer
    x = 464,466.88

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