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Finding the Third Proportional to 46,288 and 98,888

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Solution

The third proportional to 46,288 and 98,888 is: 211,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,288 : 98,888 = 98,888 : x
  2. Step 2: Convert to fraction form
    46,288/98,888 = 98,888/x
  3. Step 3: Cross multiply
    46,288x = 98,888 × 98,888
  4. Step 4: Simplify right side
    46,288x = 9,778,836,544
  5. Step 5: Solve for x
    x = 9,778,836,544/46,288
  6. Step 6: Final answer
    x = 211,260.73

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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.