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Finding the Third Proportional to 45,967.50 and 98,971.88

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Solution

The third proportional to 45,967.50 and 98,971.88 is: 213,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967.50 : 98,971.88 = 98,971.88 : x
  2. Step 2: Convert to fraction form
    45,967.50/98,971.88 = 98,971.88/x
  3. Step 3: Cross multiply
    45,967.50x = 98,971.88 × 98,971.88
  4. Step 4: Simplify right side
    45,967.50x = 9,795,432,041.02
  5. Step 5: Solve for x
    x = 9,795,432,041.02/45,967.50
  6. Step 6: Final answer
    x = 213,094.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.