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Finding the Third Proportional to 103,645 and 224,786.25

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Solution

The third proportional to 103,645 and 224,786.25 is: 487,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645 : 224,786.25 = 224,786.25 : x
  2. Step 2: Convert to fraction form
    103,645/224,786.25 = 224,786.25/x
  3. Step 3: Cross multiply
    103,645x = 224,786.25 × 224,786.25
  4. Step 4: Simplify right side
    103,645x = 50,528,858,189.06
  5. Step 5: Solve for x
    x = 50,528,858,189.06/103,645
  6. Step 6: Final answer
    x = 487,518.53

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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.