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Finding the Third Proportional to 46,420 and 99,103

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Solution

The third proportional to 46,420 and 99,103 is: 211,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,420 : 99,103 = 99,103 : x
  2. Step 2: Convert to fraction form
    46,420/99,103 = 99,103/x
  3. Step 3: Cross multiply
    46,420x = 99,103 × 99,103
  4. Step 4: Simplify right side
    46,420x = 9,821,404,609
  5. Step 5: Solve for x
    x = 9,821,404,609/46,420
  6. Step 6: Final answer
    x = 211,577.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.