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Finding the Third Proportional to 46,954.69 and 97,183.13

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Solution

The third proportional to 46,954.69 and 97,183.13 is: 201,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954.69 : 97,183.13 = 97,183.13 : x
  2. Step 2: Convert to fraction form
    46,954.69/97,183.13 = 97,183.13/x
  3. Step 3: Cross multiply
    46,954.69x = 97,183.13 × 97,183.13
  4. Step 4: Simplify right side
    46,954.69x = 9,444,559,784.77
  5. Step 5: Solve for x
    x = 9,444,559,784.77/46,954.69
  6. Step 6: Final answer
    x = 201,142.00

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.