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Finding the Third Proportional to 177,861,865 and 385,409,510

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Solution

The third proportional to 177,861,865 and 385,409,510 is: 835,145,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,861,865 : 385,409,510 = 385,409,510 : x
  2. Step 2: Convert to fraction form
    177,861,865/385,409,510 = 385,409,510/x
  3. Step 3: Cross multiply
    177,861,865x = 385,409,510 × 385,409,510
  4. Step 4: Simplify right side
    177,861,865x = 148,540,490,398,440,096
  5. Step 5: Solve for x
    x = 148,540,490,398,440,096/177,861,865
  6. Step 6: Final answer
    x = 835,145,242.62

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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.