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Finding the Third Proportional to 46,180 and 99,423

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Solution

The third proportional to 46,180 and 99,423 is: 214,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,180 : 99,423 = 99,423 : x
  2. Step 2: Convert to fraction form
    46,180/99,423 = 99,423/x
  3. Step 3: Cross multiply
    46,180x = 99,423 × 99,423
  4. Step 4: Simplify right side
    46,180x = 9,884,932,929
  5. Step 5: Solve for x
    x = 9,884,932,929/46,180
  6. Step 6: Final answer
    x = 214,052.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.