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Finding the Third Proportional to 177,877,651 and 385,446,338

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Solution

The third proportional to 177,877,651 and 385,446,338 is: 835,230,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,651 : 385,446,338 = 385,446,338 : x
  2. Step 2: Convert to fraction form
    177,877,651/385,446,338 = 385,446,338/x
  3. Step 3: Cross multiply
    177,877,651x = 385,446,338 × 385,446,338
  4. Step 4: Simplify right side
    177,877,651x = 148,568,879,477,610,240
  5. Step 5: Solve for x
    x = 148,568,879,477,610,240/177,877,651
  6. Step 6: Final answer
    x = 835,230,725.40

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Why These Related Problems?

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