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Finding the Third Proportional to 104,954,902 and 216,616,765

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Solution

The third proportional to 104,954,902 and 216,616,765 is: 447,076,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,954,902 : 216,616,765 = 216,616,765 : x
  2. Step 2: Convert to fraction form
    104,954,902/216,616,765 = 216,616,765/x
  3. Step 3: Cross multiply
    104,954,902x = 216,616,765 × 216,616,765
  4. Step 4: Simplify right side
    104,954,902x = 46,922,822,879,065,224
  5. Step 5: Solve for x
    x = 46,922,822,879,065,224/104,954,902
  6. Step 6: Final answer
    x = 447,076,048.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.