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Finding the Third Proportional to 45,316 and 99,848

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Solution

The third proportional to 45,316 and 99,848 is: 220,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,316 : 99,848 = 99,848 : x
  2. Step 2: Convert to fraction form
    45,316/99,848 = 99,848/x
  3. Step 3: Cross multiply
    45,316x = 99,848 × 99,848
  4. Step 4: Simplify right side
    45,316x = 9,969,623,104
  5. Step 5: Solve for x
    x = 9,969,623,104/45,316
  6. Step 6: Final answer
    x = 220,002.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.