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Finding the Third Proportional to 94,272 and 205,158

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Solution

The third proportional to 94,272 and 205,158 is: 446,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,272 : 205,158 = 205,158 : x
  2. Step 2: Convert to fraction form
    94,272/205,158 = 205,158/x
  3. Step 3: Cross multiply
    94,272x = 205,158 × 205,158
  4. Step 4: Simplify right side
    94,272x = 42,089,804,964
  5. Step 5: Solve for x
    x = 42,089,804,964/94,272
  6. Step 6: Final answer
    x = 446,471.96

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