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Finding the Third Proportional to 97,113.75 and 200,970.75

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Solution

The third proportional to 97,113.75 and 200,970.75 is: 415,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,113.75 : 200,970.75 = 200,970.75 : x
  2. Step 2: Convert to fraction form
    97,113.75/200,970.75 = 200,970.75/x
  3. Step 3: Cross multiply
    97,113.75x = 200,970.75 × 200,970.75
  4. Step 4: Simplify right side
    97,113.75x = 40,389,242,355.56
  5. Step 5: Solve for x
    x = 40,389,242,355.56/97,113.75
  6. Step 6: Final answer
    x = 415,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.