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Finding the Third Proportional to 191,005,654.50 and 409,264,245

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Solution

The third proportional to 191,005,654.50 and 409,264,245 is: 876,922,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,005,654.50 : 409,264,245 = 409,264,245 : x
  2. Step 2: Convert to fraction form
    191,005,654.50/409,264,245 = 409,264,245/x
  3. Step 3: Cross multiply
    191,005,654.50x = 409,264,245 × 409,264,245
  4. Step 4: Simplify right side
    191,005,654.50x = 167,497,222,235,420,032
  5. Step 5: Solve for x
    x = 167,497,222,235,420,032/191,005,654.50
  6. Step 6: Final answer
    x = 876,922,846.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.