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Finding the Third Proportional to 109,567.69 and 156,955.22

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Solution

The third proportional to 109,567.69 and 156,955.22 is: 224,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,567.69 : 156,955.22 = 156,955.22 : x
  2. Step 2: Convert to fraction form
    109,567.69/156,955.22 = 156,955.22/x
  3. Step 3: Cross multiply
    109,567.69x = 156,955.22 × 156,955.22
  4. Step 4: Simplify right side
    109,567.69x = 24,634,940,692.86
  5. Step 5: Solve for x
    x = 24,634,940,692.86/109,567.69
  6. Step 6: Final answer
    x = 224,837.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.