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Finding the Third Proportional to 194,009,118 and 293,027,913

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Solution

The third proportional to 194,009,118 and 293,027,913 is: 442,584,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,009,118 : 293,027,913 = 293,027,913 : x
  2. Step 2: Convert to fraction form
    194,009,118/293,027,913 = 293,027,913/x
  3. Step 3: Cross multiply
    194,009,118x = 293,027,913 × 293,027,913
  4. Step 4: Simplify right side
    194,009,118x = 85,865,357,797,135,568
  5. Step 5: Solve for x
    x = 85,865,357,797,135,568/194,009,118
  6. Step 6: Final answer
    x = 442,584,135.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.