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Finding the Third Proportional to 107,398.41 and 212,088.38

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Solution

The third proportional to 107,398.41 and 212,088.38 is: 418,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,398.41 : 212,088.38 = 212,088.38 : x
  2. Step 2: Convert to fraction form
    107,398.41/212,088.38 = 212,088.38/x
  3. Step 3: Cross multiply
    107,398.41x = 212,088.38 × 212,088.38
  4. Step 4: Simplify right side
    107,398.41x = 44,981,478,810.14
  5. Step 5: Solve for x
    x = 44,981,478,810.14/107,398.41
  6. Step 6: Final answer
    x = 418,828.18

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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.