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Finding the Third Proportional to 47,066.75 and 91,768.50

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Solution

The third proportional to 47,066.75 and 91,768.50 is: 178,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066.75 : 91,768.50 = 91,768.50 : x
  2. Step 2: Convert to fraction form
    47,066.75/91,768.50 = 91,768.50/x
  3. Step 3: Cross multiply
    47,066.75x = 91,768.50 × 91,768.50
  4. Step 4: Simplify right side
    47,066.75x = 8,421,457,592.25
  5. Step 5: Solve for x
    x = 8,421,457,592.25/47,066.75
  6. Step 6: Final answer
    x = 178,925.84

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.