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Finding the Third Proportional to 46,002 and 99,048

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Solution

The third proportional to 46,002 and 99,048 is: 213,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,002 : 99,048 = 99,048 : x
  2. Step 2: Convert to fraction form
    46,002/99,048 = 99,048/x
  3. Step 3: Cross multiply
    46,002x = 99,048 × 99,048
  4. Step 4: Simplify right side
    46,002x = 9,810,506,304
  5. Step 5: Solve for x
    x = 9,810,506,304/46,002
  6. Step 6: Final answer
    x = 213,262.60

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