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Finding the Third Proportional to 49,904.63 and 114,535.13

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Solution

The third proportional to 49,904.63 and 114,535.13 is: 262,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,904.63 : 114,535.13 = 114,535.13 : x
  2. Step 2: Convert to fraction form
    49,904.63/114,535.13 = 114,535.13/x
  3. Step 3: Cross multiply
    49,904.63x = 114,535.13 × 114,535.13
  4. Step 4: Simplify right side
    49,904.63x = 13,118,294,858.77
  5. Step 5: Solve for x
    x = 13,118,294,858.77/49,904.63
  6. Step 6: Final answer
    x = 262,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.