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Finding the Third Proportional to 222,880,374 and 468,321,516

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Solution

The third proportional to 222,880,374 and 468,321,516 is: 984,048,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,880,374 : 468,321,516 = 468,321,516 : x
  2. Step 2: Convert to fraction form
    222,880,374/468,321,516 = 468,321,516/x
  3. Step 3: Cross multiply
    222,880,374x = 468,321,516 × 468,321,516
  4. Step 4: Simplify right side
    222,880,374x = 219,325,042,348,538,240
  5. Step 5: Solve for x
    x = 219,325,042,348,538,240/222,880,374
  6. Step 6: Final answer
    x = 984,048,251.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.