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Finding the Third Proportional to 44,431 and 96,455

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Solution

The third proportional to 44,431 and 96,455 is: 209,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,431 : 96,455 = 96,455 : x
  2. Step 2: Convert to fraction form
    44,431/96,455 = 96,455/x
  3. Step 3: Cross multiply
    44,431x = 96,455 × 96,455
  4. Step 4: Simplify right side
    44,431x = 9,303,567,025
  5. Step 5: Solve for x
    x = 9,303,567,025/44,431
  6. Step 6: Final answer
    x = 209,393.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.