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Finding the Third Proportional to 46,298 and 101,308

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Solution

The third proportional to 46,298 and 101,308 is: 221,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,298 : 101,308 = 101,308 : x
  2. Step 2: Convert to fraction form
    46,298/101,308 = 101,308/x
  3. Step 3: Cross multiply
    46,298x = 101,308 × 101,308
  4. Step 4: Simplify right side
    46,298x = 10,263,310,864
  5. Step 5: Solve for x
    x = 10,263,310,864/46,298
  6. Step 6: Final answer
    x = 221,679.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.