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Finding the Third Proportional to 43,308 and 96,453

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Solution

The third proportional to 43,308 and 96,453 is: 214,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,308 : 96,453 = 96,453 : x
  2. Step 2: Convert to fraction form
    43,308/96,453 = 96,453/x
  3. Step 3: Cross multiply
    43,308x = 96,453 × 96,453
  4. Step 4: Simplify right side
    43,308x = 9,303,181,209
  5. Step 5: Solve for x
    x = 9,303,181,209/43,308
  6. Step 6: Final answer
    x = 214,814.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.