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Finding the Third Proportional to 90,043 and 194,051.50

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Solution

The third proportional to 90,043 and 194,051.50 is: 418,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,043 : 194,051.50 = 194,051.50 : x
  2. Step 2: Convert to fraction form
    90,043/194,051.50 = 194,051.50/x
  3. Step 3: Cross multiply
    90,043x = 194,051.50 × 194,051.50
  4. Step 4: Simplify right side
    90,043x = 37,655,984,652.25
  5. Step 5: Solve for x
    x = 37,655,984,652.25/90,043
  6. Step 6: Final answer
    x = 418,200.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.