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Finding the Third Proportional to 46,145.53 and 100,831.78

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Solution

The third proportional to 46,145.53 and 100,831.78 is: 220,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,145.53 : 100,831.78 = 100,831.78 : x
  2. Step 2: Convert to fraction form
    46,145.53/100,831.78 = 100,831.78/x
  3. Step 3: Cross multiply
    46,145.53x = 100,831.78 × 100,831.78
  4. Step 4: Simplify right side
    46,145.53x = 10,167,048,110.05
  5. Step 5: Solve for x
    x = 10,167,048,110.05/46,145.53
  6. Step 6: Final answer
    x = 220,325.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.