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Finding the Third Proportional to 43,911 and 96,356.81

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Solution

The third proportional to 43,911 and 96,356.81 is: 211,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,911 : 96,356.81 = 96,356.81 : x
  2. Step 2: Convert to fraction form
    43,911/96,356.81 = 96,356.81/x
  3. Step 3: Cross multiply
    43,911x = 96,356.81 × 96,356.81
  4. Step 4: Simplify right side
    43,911x = 9,284,635,315.16
  5. Step 5: Solve for x
    x = 9,284,635,315.16/43,911
  6. Step 6: Final answer
    x = 211,442.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.