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Finding the Third Proportional to 46,848 and 101,706

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Solution

The third proportional to 46,848 and 101,706 is: 220,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,848 : 101,706 = 101,706 : x
  2. Step 2: Convert to fraction form
    46,848/101,706 = 101,706/x
  3. Step 3: Cross multiply
    46,848x = 101,706 × 101,706
  4. Step 4: Simplify right side
    46,848x = 10,344,110,436
  5. Step 5: Solve for x
    x = 10,344,110,436/46,848
  6. Step 6: Final answer
    x = 220,801.54

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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.