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Finding the Third Proportional to 46,131.75 and 97,771.50

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Solution

The third proportional to 46,131.75 and 97,771.50 is: 207,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,131.75 : 97,771.50 = 97,771.50 : x
  2. Step 2: Convert to fraction form
    46,131.75/97,771.50 = 97,771.50/x
  3. Step 3: Cross multiply
    46,131.75x = 97,771.50 × 97,771.50
  4. Step 4: Simplify right side
    46,131.75x = 9,559,266,212.25
  5. Step 5: Solve for x
    x = 9,559,266,212.25/46,131.75
  6. Step 6: Final answer
    x = 207,216.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.