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Finding the Third Proportional to 177,861,792 and 385,409,355

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Solution

The third proportional to 177,861,792 and 385,409,355 is: 835,144,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,861,792 : 385,409,355 = 385,409,355 : x
  2. Step 2: Convert to fraction form
    177,861,792/385,409,355 = 385,409,355/x
  3. Step 3: Cross multiply
    177,861,792x = 385,409,355 × 385,409,355
  4. Step 4: Simplify right side
    177,861,792x = 148,540,370,921,516,032
  5. Step 5: Solve for x
    x = 148,540,370,921,516,032/177,861,792
  6. Step 6: Final answer
    x = 835,144,913.65

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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.