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Finding the Third Proportional to 194,009,122 and 293,027,920

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Solution

The third proportional to 194,009,122 and 293,027,920 is: 442,584,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,009,122 : 293,027,920 = 293,027,920 : x
  2. Step 2: Convert to fraction form
    194,009,122/293,027,920 = 293,027,920/x
  3. Step 3: Cross multiply
    194,009,122x = 293,027,920 × 293,027,920
  4. Step 4: Simplify right side
    194,009,122x = 85,865,361,899,526,400
  5. Step 5: Solve for x
    x = 85,865,361,899,526,400/194,009,122
  6. Step 6: Final answer
    x = 442,584,147.66

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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.