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Finding the Third Proportional to 46,708 and 101,332

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Solution

The third proportional to 46,708 and 101,332 is: 219,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708 : 101,332 = 101,332 : x
  2. Step 2: Convert to fraction form
    46,708/101,332 = 101,332/x
  3. Step 3: Cross multiply
    46,708x = 101,332 × 101,332
  4. Step 4: Simplify right side
    46,708x = 10,268,174,224
  5. Step 5: Solve for x
    x = 10,268,174,224/46,708
  6. Step 6: Final answer
    x = 219,837.59

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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.