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Finding the Third Proportional to 103,213.13 and 152,905.50

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Solution

The third proportional to 103,213.13 and 152,905.50 is: 226,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.13 : 152,905.50 = 152,905.50 : x
  2. Step 2: Convert to fraction form
    103,213.13/152,905.50 = 152,905.50/x
  3. Step 3: Cross multiply
    103,213.13x = 152,905.50 × 152,905.50
  4. Step 4: Simplify right side
    103,213.13x = 23,380,091,930.25
  5. Step 5: Solve for x
    x = 23,380,091,930.25/103,213.13
  6. Step 6: Final answer
    x = 226,522.47

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.