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Finding the Third Proportional to 44,921.25 and 97,810.88

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Solution

The third proportional to 44,921.25 and 97,810.88 is: 212,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,921.25 : 97,810.88 = 97,810.88 : x
  2. Step 2: Convert to fraction form
    44,921.25/97,810.88 = 97,810.88/x
  3. Step 3: Cross multiply
    44,921.25x = 97,810.88 × 97,810.88
  4. Step 4: Simplify right side
    44,921.25x = 9,566,967,268.27
  5. Step 5: Solve for x
    x = 9,566,967,268.27/44,921.25
  6. Step 6: Final answer
    x = 212,971.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.