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Finding the Third Proportional to 46,314.75 and 94,814.25

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Solution

The third proportional to 46,314.75 and 94,814.25 is: 194,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314.75 : 94,814.25 = 94,814.25 : x
  2. Step 2: Convert to fraction form
    46,314.75/94,814.25 = 94,814.25/x
  3. Step 3: Cross multiply
    46,314.75x = 94,814.25 × 94,814.25
  4. Step 4: Simplify right side
    46,314.75x = 8,989,742,003.06
  5. Step 5: Solve for x
    x = 8,989,742,003.06/46,314.75
  6. Step 6: Final answer
    x = 194,101.06

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.