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Finding the Third Proportional to 177,877,644 and 385,446,324

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Solution

The third proportional to 177,877,644 and 385,446,324 is: 835,230,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,644 : 385,446,324 = 385,446,324 : x
  2. Step 2: Convert to fraction form
    177,877,644/385,446,324 = 385,446,324/x
  3. Step 3: Cross multiply
    177,877,644x = 385,446,324 × 385,446,324
  4. Step 4: Simplify right side
    177,877,644x = 148,568,868,685,112,960
  5. Step 5: Solve for x
    x = 148,568,868,685,112,960/177,877,644
  6. Step 6: Final answer
    x = 835,230,697.60

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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.