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Finding the Third Proportional to 194,806 and 455,141.50

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Solution

The third proportional to 194,806 and 455,141.50 is: 1,063,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806 : 455,141.50 = 455,141.50 : x
  2. Step 2: Convert to fraction form
    194,806/455,141.50 = 455,141.50/x
  3. Step 3: Cross multiply
    194,806x = 455,141.50 × 455,141.50
  4. Step 4: Simplify right side
    194,806x = 207,153,785,022.25
  5. Step 5: Solve for x
    x = 207,153,785,022.25/194,806
  6. Step 6: Final answer
    x = 1,063,385.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.