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Finding the Third Proportional to 130,969.55 and 200,213.23

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Solution

The third proportional to 130,969.55 and 200,213.23 is: 306,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,969.55 : 200,213.23 = 200,213.23 : x
  2. Step 2: Convert to fraction form
    130,969.55/200,213.23 = 200,213.23/x
  3. Step 3: Cross multiply
    130,969.55x = 200,213.23 × 200,213.23
  4. Step 4: Simplify right side
    130,969.55x = 40,085,336,090.57
  5. Step 5: Solve for x
    x = 40,085,336,090.57/130,969.55
  6. Step 6: Final answer
    x = 306,066.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.