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Finding the Third Proportional to 199,810.13 and 418,088.25

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Solution

The third proportional to 199,810.13 and 418,088.25 is: 874,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.13 : 418,088.25 = 418,088.25 : x
  2. Step 2: Convert to fraction form
    199,810.13/418,088.25 = 418,088.25/x
  3. Step 3: Cross multiply
    199,810.13x = 418,088.25 × 418,088.25
  4. Step 4: Simplify right side
    199,810.13x = 174,797,784,788.06
  5. Step 5: Solve for x
    x = 174,797,784,788.06/199,810.13
  6. Step 6: Final answer
    x = 874,819.46

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.