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Finding the Third Proportional to 136,311,858 and 293,408,972

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Solution

The third proportional to 136,311,858 and 293,408,972 is: 631,557,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,858 : 293,408,972 = 293,408,972 : x
  2. Step 2: Convert to fraction form
    136,311,858/293,408,972 = 293,408,972/x
  3. Step 3: Cross multiply
    136,311,858x = 293,408,972 × 293,408,972
  4. Step 4: Simplify right side
    136,311,858x = 86,088,824,850,096,784
  5. Step 5: Solve for x
    x = 86,088,824,850,096,784/136,311,858
  6. Step 6: Final answer
    x = 631,557,856.47

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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.