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Finding the Third Proportional to 100,897 and 212,250

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Solution

The third proportional to 100,897 and 212,250 is: 446,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897 : 212,250 = 212,250 : x
  2. Step 2: Convert to fraction form
    100,897/212,250 = 212,250/x
  3. Step 3: Cross multiply
    100,897x = 212,250 × 212,250
  4. Step 4: Simplify right side
    100,897x = 45,050,062,500
  5. Step 5: Solve for x
    x = 45,050,062,500/100,897
  6. Step 6: Final answer
    x = 446,495.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.