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Finding the Third Proportional to 47,980,831.50 and 104,480,703

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Solution

The third proportional to 47,980,831.50 and 104,480,703 is: 227,512,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980,831.50 : 104,480,703 = 104,480,703 : x
  2. Step 2: Convert to fraction form
    47,980,831.50/104,480,703 = 104,480,703/x
  3. Step 3: Cross multiply
    47,980,831.50x = 104,480,703 × 104,480,703
  4. Step 4: Simplify right side
    47,980,831.50x = 10,916,217,299,374,208
  5. Step 5: Solve for x
    x = 10,916,217,299,374,208/47,980,831.50
  6. Step 6: Final answer
    x = 227,512,049.25

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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.