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Finding the Third Proportional to 103,944 and 156,856.50

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Solution

The third proportional to 103,944 and 156,856.50 is: 236,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,944 : 156,856.50 = 156,856.50 : x
  2. Step 2: Convert to fraction form
    103,944/156,856.50 = 156,856.50/x
  3. Step 3: Cross multiply
    103,944x = 156,856.50 × 156,856.50
  4. Step 4: Simplify right side
    103,944x = 24,603,961,592.25
  5. Step 5: Solve for x
    x = 24,603,961,592.25/103,944
  6. Step 6: Final answer
    x = 236,704.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.