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Finding the Third Proportional to 43,688.25 and 93,098.25

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Solution

The third proportional to 43,688.25 and 93,098.25 is: 198,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,688.25 : 93,098.25 = 93,098.25 : x
  2. Step 2: Convert to fraction form
    43,688.25/93,098.25 = 93,098.25/x
  3. Step 3: Cross multiply
    43,688.25x = 93,098.25 × 93,098.25
  4. Step 4: Simplify right side
    43,688.25x = 8,667,284,153.06
  5. Step 5: Solve for x
    x = 8,667,284,153.06/43,688.25
  6. Step 6: Final answer
    x = 198,389.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.