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Finding the Third Proportional to 45,047 and 98,383

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Solution

The third proportional to 45,047 and 98,383 is: 214,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,047 : 98,383 = 98,383 : x
  2. Step 2: Convert to fraction form
    45,047/98,383 = 98,383/x
  3. Step 3: Cross multiply
    45,047x = 98,383 × 98,383
  4. Step 4: Simplify right side
    45,047x = 9,679,214,689
  5. Step 5: Solve for x
    x = 9,679,214,689/45,047
  6. Step 6: Final answer
    x = 214,869.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.