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Finding the Third Proportional to 100,228,176 and 218,864,736

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Solution

The third proportional to 100,228,176 and 218,864,736 is: 477,927,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228,176 : 218,864,736 = 218,864,736 : x
  2. Step 2: Convert to fraction form
    100,228,176/218,864,736 = 218,864,736/x
  3. Step 3: Cross multiply
    100,228,176x = 218,864,736 × 218,864,736
  4. Step 4: Simplify right side
    100,228,176x = 47,901,772,664,349,696
  5. Step 5: Solve for x
    x = 47,901,772,664,349,696/100,228,176
  6. Step 6: Final answer
    x = 477,927,211.45

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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.