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Finding the Third Proportional to 230,664,264 and 505,142,877

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Solution

The third proportional to 230,664,264 and 505,142,877 is: 1,106,236,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,664,264 : 505,142,877 = 505,142,877 : x
  2. Step 2: Convert to fraction form
    230,664,264/505,142,877 = 505,142,877/x
  3. Step 3: Cross multiply
    230,664,264x = 505,142,877 × 505,142,877
  4. Step 4: Simplify right side
    230,664,264x = 255,169,326,183,837,120
  5. Step 5: Solve for x
    x = 255,169,326,183,837,120/230,664,264
  6. Step 6: Final answer
    x = 1,106,236,925.30

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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.