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Finding the Third Proportional to 154,017,676.13 and 363,213,223.88

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Solution

The third proportional to 154,017,676.13 and 363,213,223.88 is: 856,550,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,017,676.13 : 363,213,223.88 = 363,213,223.88 : x
  2. Step 2: Convert to fraction form
    154,017,676.13/363,213,223.88 = 363,213,223.88/x
  3. Step 3: Cross multiply
    154,017,676.13x = 363,213,223.88 × 363,213,223.88
  4. Step 4: Simplify right side
    154,017,676.13x = 131,923,845,997,670,864
  5. Step 5: Solve for x
    x = 131,923,845,997,670,864/154,017,676.13
  6. Step 6: Final answer
    x = 856,550,035.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.