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Finding the Third Proportional to 107,394 and 212,076.75

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Solution

The third proportional to 107,394 and 212,076.75 is: 418,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,394 : 212,076.75 = 212,076.75 : x
  2. Step 2: Convert to fraction form
    107,394/212,076.75 = 212,076.75/x
  3. Step 3: Cross multiply
    107,394x = 212,076.75 × 212,076.75
  4. Step 4: Simplify right side
    107,394x = 44,976,547,890.56
  5. Step 5: Solve for x
    x = 44,976,547,890.56/107,394
  6. Step 6: Final answer
    x = 418,799.45

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.