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Finding the Third Proportional to 120,094,646 and 243,531,092

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Solution

The third proportional to 120,094,646 and 243,531,092 is: 493,838,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094,646 : 243,531,092 = 243,531,092 : x
  2. Step 2: Convert to fraction form
    120,094,646/243,531,092 = 243,531,092/x
  3. Step 3: Cross multiply
    120,094,646x = 243,531,092 × 243,531,092
  4. Step 4: Simplify right side
    120,094,646x = 59,307,392,770,712,464
  5. Step 5: Solve for x
    x = 59,307,392,770,712,464/120,094,646
  6. Step 6: Final answer
    x = 493,838,774.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.