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Finding the Third Proportional to 43,915 and 96,365

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Solution

The third proportional to 43,915 and 96,365 is: 211,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,915 : 96,365 = 96,365 : x
  2. Step 2: Convert to fraction form
    43,915/96,365 = 96,365/x
  3. Step 3: Cross multiply
    43,915x = 96,365 × 96,365
  4. Step 4: Simplify right side
    43,915x = 9,286,213,225
  5. Step 5: Solve for x
    x = 9,286,213,225/43,915
  6. Step 6: Final answer
    x = 211,458.80

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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.