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Finding the Third Proportional to 46,240.88 and 100,785.75

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Solution

The third proportional to 46,240.88 and 100,785.75 is: 219,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240.88 : 100,785.75 = 100,785.75 : x
  2. Step 2: Convert to fraction form
    46,240.88/100,785.75 = 100,785.75/x
  3. Step 3: Cross multiply
    46,240.88x = 100,785.75 × 100,785.75
  4. Step 4: Simplify right side
    46,240.88x = 10,157,767,403.06
  5. Step 5: Solve for x
    x = 10,157,767,403.06/46,240.88
  6. Step 6: Final answer
    x = 219,670.74

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1.5x scale

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.