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Finding the Third Proportional to 101,971.41 and 220,892.06

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Solution

The third proportional to 101,971.41 and 220,892.06 is: 478,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.41 : 220,892.06 = 220,892.06 : x
  2. Step 2: Convert to fraction form
    101,971.41/220,892.06 = 220,892.06/x
  3. Step 3: Cross multiply
    101,971.41x = 220,892.06 × 220,892.06
  4. Step 4: Simplify right side
    101,971.41x = 48,793,303,275.50
  5. Step 5: Solve for x
    x = 48,793,303,275.50/101,971.41
  6. Step 6: Final answer
    x = 478,499.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.