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Finding the Third Proportional to 94,772.53 and 206,155.13

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Solution

The third proportional to 94,772.53 and 206,155.13 is: 448,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,772.53 : 206,155.13 = 206,155.13 : x
  2. Step 2: Convert to fraction form
    94,772.53/206,155.13 = 206,155.13/x
  3. Step 3: Cross multiply
    94,772.53x = 206,155.13 × 206,155.13
  4. Step 4: Simplify right side
    94,772.53x = 42,499,935,563.77
  5. Step 5: Solve for x
    x = 42,499,935,563.77/94,772.53
  6. Step 6: Final answer
    x = 448,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.