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Finding the Third Proportional to 47,132 and 99,111.50

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Solution

The third proportional to 47,132 and 99,111.50 is: 208,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132 : 99,111.50 = 99,111.50 : x
  2. Step 2: Convert to fraction form
    47,132/99,111.50 = 99,111.50/x
  3. Step 3: Cross multiply
    47,132x = 99,111.50 × 99,111.50
  4. Step 4: Simplify right side
    47,132x = 9,823,089,432.25
  5. Step 5: Solve for x
    x = 9,823,089,432.25/47,132
  6. Step 6: Final answer
    x = 208,416.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.