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Finding the Third Proportional to 221,824,957 and 344,834,232

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Solution

The third proportional to 221,824,957 and 344,834,232 is: 536,056,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824,957 : 344,834,232 = 344,834,232 : x
  2. Step 2: Convert to fraction form
    221,824,957/344,834,232 = 344,834,232/x
  3. Step 3: Cross multiply
    221,824,957x = 344,834,232 × 344,834,232
  4. Step 4: Simplify right side
    221,824,957x = 118,910,647,559,029,824
  5. Step 5: Solve for x
    x = 118,910,647,559,029,824/221,824,957
  6. Step 6: Final answer
    x = 536,056,218.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.