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Finding the Third Proportional to 94,959 and 205,146

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Solution

The third proportional to 94,959 and 205,146 is: 443,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,959 : 205,146 = 205,146 : x
  2. Step 2: Convert to fraction form
    94,959/205,146 = 205,146/x
  3. Step 3: Cross multiply
    94,959x = 205,146 × 205,146
  4. Step 4: Simplify right side
    94,959x = 42,084,881,316
  5. Step 5: Solve for x
    x = 42,084,881,316/94,959
  6. Step 6: Final answer
    x = 443,190.02

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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.