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Finding the Third Proportional to 46,194.75 and 64,360.88

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Solution

The third proportional to 46,194.75 and 64,360.88 is: 89,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194.75 : 64,360.88 = 64,360.88 : x
  2. Step 2: Convert to fraction form
    46,194.75/64,360.88 = 64,360.88/x
  3. Step 3: Cross multiply
    46,194.75x = 64,360.88 × 64,360.88
  4. Step 4: Simplify right side
    46,194.75x = 4,142,322,230.77
  5. Step 5: Solve for x
    x = 4,142,322,230.77/46,194.75
  6. Step 6: Final answer
    x = 89,670.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.