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Finding the Third Proportional to 101,486.25 and 220,262.63

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Solution

The third proportional to 101,486.25 and 220,262.63 is: 478,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486.25 : 220,262.63 = 220,262.63 : x
  2. Step 2: Convert to fraction form
    101,486.25/220,262.63 = 220,262.63/x
  3. Step 3: Cross multiply
    101,486.25x = 220,262.63 × 220,262.63
  4. Step 4: Simplify right side
    101,486.25x = 48,515,623,971.89
  5. Step 5: Solve for x
    x = 48,515,623,971.89/101,486.25
  6. Step 6: Final answer
    x = 478,051.20

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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.