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Finding the Third Proportional to 46,739.29 and 101,935.42

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Solution

The third proportional to 46,739.29 and 101,935.42 is: 222,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,739.29 : 101,935.42 = 101,935.42 : x
  2. Step 2: Convert to fraction form
    46,739.29/101,935.42 = 101,935.42/x
  3. Step 3: Cross multiply
    46,739.29x = 101,935.42 × 101,935.42
  4. Step 4: Simplify right side
    46,739.29x = 10,390,828,839.19
  5. Step 5: Solve for x
    x = 10,390,828,839.19/46,739.29
  6. Step 6: Final answer
    x = 222,314.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.