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Finding the Third Proportional to 177,861,789 and 385,409,349

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Solution

The third proportional to 177,861,789 and 385,409,349 is: 835,144,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,861,789 : 385,409,349 = 385,409,349 : x
  2. Step 2: Convert to fraction form
    177,861,789/385,409,349 = 385,409,349/x
  3. Step 3: Cross multiply
    177,861,789x = 385,409,349 × 385,409,349
  4. Step 4: Simplify right side
    177,861,789x = 148,540,366,296,603,808
  5. Step 5: Solve for x
    x = 148,540,366,296,603,808/177,861,789
  6. Step 6: Final answer
    x = 835,144,901.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.