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Finding the Third Proportional to 46,036 and 95,344

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Solution

The third proportional to 46,036 and 95,344 is: 197,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,036 : 95,344 = 95,344 : x
  2. Step 2: Convert to fraction form
    46,036/95,344 = 95,344/x
  3. Step 3: Cross multiply
    46,036x = 95,344 × 95,344
  4. Step 4: Simplify right side
    46,036x = 9,090,478,336
  5. Step 5: Solve for x
    x = 9,090,478,336/46,036
  6. Step 6: Final answer
    x = 197,464.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.