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Finding the Third Proportional to 46,856.81 and 101,197.69

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Solution

The third proportional to 46,856.81 and 101,197.69 is: 218,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856.81 : 101,197.69 = 101,197.69 : x
  2. Step 2: Convert to fraction form
    46,856.81/101,197.69 = 101,197.69/x
  3. Step 3: Cross multiply
    46,856.81x = 101,197.69 × 101,197.69
  4. Step 4: Simplify right side
    46,856.81x = 10,240,971,955.35
  5. Step 5: Solve for x
    x = 10,240,971,955.35/46,856.81
  6. Step 6: Final answer
    x = 218,558.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.