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Finding the Third Proportional to 46,016 and 98,594

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Solution

The third proportional to 46,016 and 98,594 is: 211,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016 : 98,594 = 98,594 : x
  2. Step 2: Convert to fraction form
    46,016/98,594 = 98,594/x
  3. Step 3: Cross multiply
    46,016x = 98,594 × 98,594
  4. Step 4: Simplify right side
    46,016x = 9,720,776,836
  5. Step 5: Solve for x
    x = 9,720,776,836/46,016
  6. Step 6: Final answer
    x = 211,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.