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Finding the Third Proportional to 191,966.63 and 412,912.13

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Solution

The third proportional to 191,966.63 and 412,912.13 is: 888,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,966.63 : 412,912.13 = 412,912.13 : x
  2. Step 2: Convert to fraction form
    191,966.63/412,912.13 = 412,912.13/x
  3. Step 3: Cross multiply
    191,966.63x = 412,912.13 × 412,912.13
  4. Step 4: Simplify right side
    191,966.63x = 170,496,422,972.02
  5. Step 5: Solve for x
    x = 170,496,422,972.02/191,966.63
  6. Step 6: Final answer
    x = 888,156.59

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Why These Related Problems?

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