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Finding the Third Proportional to 46,088 and 96,814

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Solution

The third proportional to 46,088 and 96,814 is: 203,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,088 : 96,814 = 96,814 : x
  2. Step 2: Convert to fraction form
    46,088/96,814 = 96,814/x
  3. Step 3: Cross multiply
    46,088x = 96,814 × 96,814
  4. Step 4: Simplify right side
    46,088x = 9,372,950,596
  5. Step 5: Solve for x
    x = 9,372,950,596/46,088
  6. Step 6: Final answer
    x = 203,370.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.