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Finding the Third Proportional to 230,664,261 and 505,142,871

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Solution

The third proportional to 230,664,261 and 505,142,871 is: 1,106,236,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,664,261 : 505,142,871 = 505,142,871 : x
  2. Step 2: Convert to fraction form
    230,664,261/505,142,871 = 505,142,871/x
  3. Step 3: Cross multiply
    230,664,261x = 505,142,871 × 505,142,871
  4. Step 4: Simplify right side
    230,664,261x = 255,169,320,122,122,656
  5. Step 5: Solve for x
    x = 255,169,320,122,122,656/230,664,261
  6. Step 6: Final answer
    x = 1,106,236,913.41

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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.