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Finding the Third Proportional to 233,214,361 and 510,361,394

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Solution

The third proportional to 233,214,361 and 510,361,394 is: 1,116,864,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,361 : 510,361,394 = 510,361,394 : x
  2. Step 2: Convert to fraction form
    233,214,361/510,361,394 = 510,361,394/x
  3. Step 3: Cross multiply
    233,214,361x = 510,361,394 × 510,361,394
  4. Step 4: Simplify right side
    233,214,361x = 260,468,752,485,623,232
  5. Step 5: Solve for x
    x = 260,468,752,485,623,232/233,214,361
  6. Step 6: Final answer
    x = 1,116,864,121.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.