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Finding the Third Proportional to 46,429.88 and 108,487.69

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Solution

The third proportional to 46,429.88 and 108,487.69 is: 253,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,429.88 : 108,487.69 = 108,487.69 : x
  2. Step 2: Convert to fraction form
    46,429.88/108,487.69 = 108,487.69/x
  3. Step 3: Cross multiply
    46,429.88x = 108,487.69 × 108,487.69
  4. Step 4: Simplify right side
    46,429.88x = 11,769,578,339.10
  5. Step 5: Solve for x
    x = 11,769,578,339.10/46,429.88
  6. Step 6: Final answer
    x = 253,491.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.