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Finding the Third Proportional to 94,716.84 and 202,566.66

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Solution

The third proportional to 94,716.84 and 202,566.66 is: 433,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,716.84 : 202,566.66 = 202,566.66 : x
  2. Step 2: Convert to fraction form
    94,716.84/202,566.66 = 202,566.66/x
  3. Step 3: Cross multiply
    94,716.84x = 202,566.66 × 202,566.66
  4. Step 4: Simplify right side
    94,716.84x = 41,033,250,224.31
  5. Step 5: Solve for x
    x = 41,033,250,224.31/94,716.84
  6. Step 6: Final answer
    x = 433,220.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.