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Finding the Third Proportional to 44,417.44 and 97,138.22

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Solution

The third proportional to 44,417.44 and 97,138.22 is: 212,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417.44 : 97,138.22 = 97,138.22 : x
  2. Step 2: Convert to fraction form
    44,417.44/97,138.22 = 97,138.22/x
  3. Step 3: Cross multiply
    44,417.44x = 97,138.22 × 97,138.22
  4. Step 4: Simplify right side
    44,417.44x = 9,435,833,541.92
  5. Step 5: Solve for x
    x = 9,435,833,541.92/44,417.44
  6. Step 6: Final answer
    x = 212,435.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.