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Finding the Third Proportional to 194,820.19 and 418,785.19

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Solution

The third proportional to 194,820.19 and 418,785.19 is: 900,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,820.19 : 418,785.19 = 418,785.19 : x
  2. Step 2: Convert to fraction form
    194,820.19/418,785.19 = 418,785.19/x
  3. Step 3: Cross multiply
    194,820.19x = 418,785.19 × 418,785.19
  4. Step 4: Simplify right side
    194,820.19x = 175,381,033,269.41
  5. Step 5: Solve for x
    x = 175,381,033,269.41/194,820.19
  6. Step 6: Final answer
    x = 900,220.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.