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Finding the Third Proportional to 177,928,494 and 384,635,316

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Solution

The third proportional to 177,928,494 and 384,635,316 is: 831,481,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,928,494 : 384,635,316 = 384,635,316 : x
  2. Step 2: Convert to fraction form
    177,928,494/384,635,316 = 384,635,316/x
  3. Step 3: Cross multiply
    177,928,494x = 384,635,316 × 384,635,316
  4. Step 4: Simplify right side
    177,928,494x = 147,944,326,314,419,840
  5. Step 5: Solve for x
    x = 147,944,326,314,419,840/177,928,494
  6. Step 6: Final answer
    x = 831,481,922.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.