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Finding the Third Proportional to 46,381.50 and 99,334.13

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Solution

The third proportional to 46,381.50 and 99,334.13 is: 212,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381.50 : 99,334.13 = 99,334.13 : x
  2. Step 2: Convert to fraction form
    46,381.50/99,334.13 = 99,334.13/x
  3. Step 3: Cross multiply
    46,381.50x = 99,334.13 × 99,334.13
  4. Step 4: Simplify right side
    46,381.50x = 9,867,268,389.52
  5. Step 5: Solve for x
    x = 9,867,268,389.52/46,381.50
  6. Step 6: Final answer
    x = 212,741.47

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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.