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Finding the Third Proportional to 97,428.94 and 209,361.66

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Solution

The third proportional to 97,428.94 and 209,361.66 is: 449,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428.94 : 209,361.66 = 209,361.66 : x
  2. Step 2: Convert to fraction form
    97,428.94/209,361.66 = 209,361.66/x
  3. Step 3: Cross multiply
    97,428.94x = 209,361.66 × 209,361.66
  4. Step 4: Simplify right side
    97,428.94x = 43,832,303,107.74
  5. Step 5: Solve for x
    x = 43,832,303,107.74/97,428.94
  6. Step 6: Final answer
    x = 449,889.98

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Why These Related Problems?

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