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Finding the Third Proportional to 100,953 and 212,370

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Solution

The third proportional to 100,953 and 212,370 is: 446,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953 : 212,370 = 212,370 : x
  2. Step 2: Convert to fraction form
    100,953/212,370 = 212,370/x
  3. Step 3: Cross multiply
    100,953x = 212,370 × 212,370
  4. Step 4: Simplify right side
    100,953x = 45,101,016,900
  5. Step 5: Solve for x
    x = 45,101,016,900/100,953
  6. Step 6: Final answer
    x = 446,752.62

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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.