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Finding the Third Proportional to 230,664,252 and 505,142,853

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Solution

The third proportional to 230,664,252 and 505,142,853 is: 1,106,236,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,664,252 : 505,142,853 = 505,142,853 : x
  2. Step 2: Convert to fraction form
    230,664,252/505,142,853 = 505,142,853/x
  3. Step 3: Cross multiply
    230,664,252x = 505,142,853 × 505,142,853
  4. Step 4: Simplify right side
    230,664,252x = 255,169,301,936,979,616
  5. Step 5: Solve for x
    x = 255,169,301,936,979,616/230,664,252
  6. Step 6: Final answer
    x = 1,106,236,877.73

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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.