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Finding the Third Proportional to 45,980 and 99,219

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Solution

The third proportional to 45,980 and 99,219 is: 214,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980 : 99,219 = 99,219 : x
  2. Step 2: Convert to fraction form
    45,980/99,219 = 99,219/x
  3. Step 3: Cross multiply
    45,980x = 99,219 × 99,219
  4. Step 4: Simplify right side
    45,980x = 9,844,409,961
  5. Step 5: Solve for x
    x = 9,844,409,961/45,980
  6. Step 6: Final answer
    x = 214,102.00

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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.