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Finding the Third Proportional to 47,340.86 and 103,152.08

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Solution

The third proportional to 47,340.86 and 103,152.08 is: 224,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340.86 : 103,152.08 = 103,152.08 : x
  2. Step 2: Convert to fraction form
    47,340.86/103,152.08 = 103,152.08/x
  3. Step 3: Cross multiply
    47,340.86x = 103,152.08 × 103,152.08
  4. Step 4: Simplify right side
    47,340.86x = 10,640,350,818.57
  5. Step 5: Solve for x
    x = 10,640,350,818.57/47,340.86
  6. Step 6: Final answer
    x = 224,760.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.