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Finding the Third Proportional to 46,381.78 and 101,639.81

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Solution

The third proportional to 46,381.78 and 101,639.81 is: 222,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381.78 : 101,639.81 = 101,639.81 : x
  2. Step 2: Convert to fraction form
    46,381.78/101,639.81 = 101,639.81/x
  3. Step 3: Cross multiply
    46,381.78x = 101,639.81 × 101,639.81
  4. Step 4: Simplify right side
    46,381.78x = 10,330,651,485.04
  5. Step 5: Solve for x
    x = 10,330,651,485.04/46,381.78
  6. Step 6: Final answer
    x = 222,730.81

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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.