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Finding the Third Proportional to 177,877,654 and 385,446,344

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Solution

The third proportional to 177,877,654 and 385,446,344 is: 835,230,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,654 : 385,446,344 = 385,446,344 : x
  2. Step 2: Convert to fraction form
    177,877,654/385,446,344 = 385,446,344/x
  3. Step 3: Cross multiply
    177,877,654x = 385,446,344 × 385,446,344
  4. Step 4: Simplify right side
    177,877,654x = 148,568,884,102,966,336
  5. Step 5: Solve for x
    x = 148,568,884,102,966,336/177,877,654
  6. Step 6: Final answer
    x = 835,230,737.32

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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.