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Finding the Third Proportional to 46,261.50 and 99,078.94

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Solution

The third proportional to 46,261.50 and 99,078.94 is: 212,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,261.50 : 99,078.94 = 99,078.94 : x
  2. Step 2: Convert to fraction form
    46,261.50/99,078.94 = 99,078.94/x
  3. Step 3: Cross multiply
    46,261.50x = 99,078.94 × 99,078.94
  4. Step 4: Simplify right side
    46,261.50x = 9,816,635,856.13
  5. Step 5: Solve for x
    x = 9,816,635,856.13/46,261.50
  6. Step 6: Final answer
    x = 212,198.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.