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Finding the Third Proportional to 44,383 and 96,541

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Solution

The third proportional to 44,383 and 96,541 is: 209,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,383 : 96,541 = 96,541 : x
  2. Step 2: Convert to fraction form
    44,383/96,541 = 96,541/x
  3. Step 3: Cross multiply
    44,383x = 96,541 × 96,541
  4. Step 4: Simplify right side
    44,383x = 9,320,164,681
  5. Step 5: Solve for x
    x = 9,320,164,681/44,383
  6. Step 6: Final answer
    x = 209,994.02

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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.