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Finding the Third Proportional to 47,028 and 91,699.50

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Solution

The third proportional to 47,028 and 91,699.50 is: 178,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,028 : 91,699.50 = 91,699.50 : x
  2. Step 2: Convert to fraction form
    47,028/91,699.50 = 91,699.50/x
  3. Step 3: Cross multiply
    47,028x = 91,699.50 × 91,699.50
  4. Step 4: Simplify right side
    47,028x = 8,408,798,300.25
  5. Step 5: Solve for x
    x = 8,408,798,300.25/47,028
  6. Step 6: Final answer
    x = 178,804.08

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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.