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Finding the Third Proportional to 46,859 and 101,202

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Solution

The third proportional to 46,859 and 101,202 is: 218,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,859 : 101,202 = 101,202 : x
  2. Step 2: Convert to fraction form
    46,859/101,202 = 101,202/x
  3. Step 3: Cross multiply
    46,859x = 101,202 × 101,202
  4. Step 4: Simplify right side
    46,859x = 10,241,844,804
  5. Step 5: Solve for x
    x = 10,241,844,804/46,859
  6. Step 6: Final answer
    x = 218,567.29

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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.