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Finding the Third Proportional to 130,919.63 and 200,184.19

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Solution

The third proportional to 130,919.63 and 200,184.19 is: 306,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,919.63 : 200,184.19 = 200,184.19 : x
  2. Step 2: Convert to fraction form
    130,919.63/200,184.19 = 200,184.19/x
  3. Step 3: Cross multiply
    130,919.63x = 200,184.19 × 200,184.19
  4. Step 4: Simplify right side
    130,919.63x = 40,073,708,925.04
  5. Step 5: Solve for x
    x = 40,073,708,925.04/130,919.63
  6. Step 6: Final answer
    x = 306,093.98

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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.