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Finding the Third Proportional to 46,142.50 and 90,918.50

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Solution

The third proportional to 46,142.50 and 90,918.50 is: 179,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142.50 : 90,918.50 = 90,918.50 : x
  2. Step 2: Convert to fraction form
    46,142.50/90,918.50 = 90,918.50/x
  3. Step 3: Cross multiply
    46,142.50x = 90,918.50 × 90,918.50
  4. Step 4: Simplify right side
    46,142.50x = 8,266,173,642.25
  5. Step 5: Solve for x
    x = 8,266,173,642.25/46,142.50
  6. Step 6: Final answer
    x = 179,144.47

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.