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Finding the Third Proportional to 94,888 and 205,360

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Solution

The third proportional to 94,888 and 205,360 is: 444,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,888 : 205,360 = 205,360 : x
  2. Step 2: Convert to fraction form
    94,888/205,360 = 205,360/x
  3. Step 3: Cross multiply
    94,888x = 205,360 × 205,360
  4. Step 4: Simplify right side
    94,888x = 42,172,729,600
  5. Step 5: Solve for x
    x = 42,172,729,600/94,888
  6. Step 6: Final answer
    x = 444,447.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.