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Finding the Third Proportional to 144,228,913 and 310,327,285

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Solution

The third proportional to 144,228,913 and 310,327,285 is: 667,709,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,913 : 310,327,285 = 310,327,285 : x
  2. Step 2: Convert to fraction form
    144,228,913/310,327,285 = 310,327,285/x
  3. Step 3: Cross multiply
    144,228,913x = 310,327,285 × 310,327,285
  4. Step 4: Simplify right side
    144,228,913x = 96,303,023,815,471,232
  5. Step 5: Solve for x
    x = 96,303,023,815,471,232/144,228,913
  6. Step 6: Final answer
    x = 667,709,558.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.