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Finding the Third Proportional to 46,935.07 and 101,832.19

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Solution

The third proportional to 46,935.07 and 101,832.19 is: 220,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,935.07 : 101,832.19 = 101,832.19 : x
  2. Step 2: Convert to fraction form
    46,935.07/101,832.19 = 101,832.19/x
  3. Step 3: Cross multiply
    46,935.07x = 101,832.19 × 101,832.19
  4. Step 4: Simplify right side
    46,935.07x = 10,369,794,411.04
  5. Step 5: Solve for x
    x = 10,369,794,411.04/46,935.07
  6. Step 6: Final answer
    x = 220,939.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.