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Finding the Third Proportional to 111,263,378 and 225,671,106

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Solution

The third proportional to 111,263,378 and 225,671,106 is: 457,719,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,263,378 : 225,671,106 = 225,671,106 : x
  2. Step 2: Convert to fraction form
    111,263,378/225,671,106 = 225,671,106/x
  3. Step 3: Cross multiply
    111,263,378x = 225,671,106 × 225,671,106
  4. Step 4: Simplify right side
    111,263,378x = 50,927,448,083,263,232
  5. Step 5: Solve for x
    x = 50,927,448,083,263,232/111,263,378
  6. Step 6: Final answer
    x = 457,719,772.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.