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Finding the Third Proportional to 46,203.75 and 113,457.75

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Solution

The third proportional to 46,203.75 and 113,457.75 is: 278,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,203.75 : 113,457.75 = 113,457.75 : x
  2. Step 2: Convert to fraction form
    46,203.75/113,457.75 = 113,457.75/x
  3. Step 3: Cross multiply
    46,203.75x = 113,457.75 × 113,457.75
  4. Step 4: Simplify right side
    46,203.75x = 12,872,661,035.06
  5. Step 5: Solve for x
    x = 12,872,661,035.06/46,203.75
  6. Step 6: Final answer
    x = 278,606.41

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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.