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Finding the Third Proportional to 46,379.81 and 99,318.94

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Solution

The third proportional to 46,379.81 and 99,318.94 is: 212,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,379.81 : 99,318.94 = 99,318.94 : x
  2. Step 2: Convert to fraction form
    46,379.81/99,318.94 = 99,318.94/x
  3. Step 3: Cross multiply
    46,379.81x = 99,318.94 × 99,318.94
  4. Step 4: Simplify right side
    46,379.81x = 9,864,251,346.13
  5. Step 5: Solve for x
    x = 9,864,251,346.13/46,379.81
  6. Step 6: Final answer
    x = 212,684.16

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Why These Related Problems?

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