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Finding the Third Proportional to 216,550,219 and 467,617,349

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Solution

The third proportional to 216,550,219 and 467,617,349 is: 1,009,770,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,550,219 : 467,617,349 = 467,617,349 : x
  2. Step 2: Convert to fraction form
    216,550,219/467,617,349 = 467,617,349/x
  3. Step 3: Cross multiply
    216,550,219x = 467,617,349 × 467,617,349
  4. Step 4: Simplify right side
    216,550,219x = 218,665,985,085,787,808
  5. Step 5: Solve for x
    x = 218,665,985,085,787,808/216,550,219
  6. Step 6: Final answer
    x = 1,009,770,325.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.