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Finding the Third Proportional to 94,977 and 202,665.75

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Solution

The third proportional to 94,977 and 202,665.75 is: 432,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,977 : 202,665.75 = 202,665.75 : x
  2. Step 2: Convert to fraction form
    94,977/202,665.75 = 202,665.75/x
  3. Step 3: Cross multiply
    94,977x = 202,665.75 × 202,665.75
  4. Step 4: Simplify right side
    94,977x = 41,073,406,223.06
  5. Step 5: Solve for x
    x = 41,073,406,223.06/94,977
  6. Step 6: Final answer
    x = 432,456.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.