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Finding the Third Proportional to 46,498 and 95,468

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Solution

The third proportional to 46,498 and 95,468 is: 196,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,498 : 95,468 = 95,468 : x
  2. Step 2: Convert to fraction form
    46,498/95,468 = 95,468/x
  3. Step 3: Cross multiply
    46,498x = 95,468 × 95,468
  4. Step 4: Simplify right side
    46,498x = 9,114,139,024
  5. Step 5: Solve for x
    x = 9,114,139,024/46,498
  6. Step 6: Final answer
    x = 196,011.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.