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Finding the Third Proportional to 46,014 and 98,586

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Solution

The third proportional to 46,014 and 98,586 is: 211,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,014 : 98,586 = 98,586 : x
  2. Step 2: Convert to fraction form
    46,014/98,586 = 98,586/x
  3. Step 3: Cross multiply
    46,014x = 98,586 × 98,586
  4. Step 4: Simplify right side
    46,014x = 9,719,199,396
  5. Step 5: Solve for x
    x = 9,719,199,396/46,014
  6. Step 6: Final answer
    x = 211,222.66

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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.