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Finding the Third Proportional to 42,226 and 91,219

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Solution

The third proportional to 42,226 and 91,219 is: 197,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,226 : 91,219 = 91,219 : x
  2. Step 2: Convert to fraction form
    42,226/91,219 = 91,219/x
  3. Step 3: Cross multiply
    42,226x = 91,219 × 91,219
  4. Step 4: Simplify right side
    42,226x = 8,320,905,961
  5. Step 5: Solve for x
    x = 8,320,905,961/42,226
  6. Step 6: Final answer
    x = 197,056.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.