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Finding the Third Proportional to 177,879,459 and 265,771,804

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Solution

The third proportional to 177,879,459 and 265,771,804 is: 397,092,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,879,459 : 265,771,804 = 265,771,804 : x
  2. Step 2: Convert to fraction form
    177,879,459/265,771,804 = 265,771,804/x
  3. Step 3: Cross multiply
    177,879,459x = 265,771,804 × 265,771,804
  4. Step 4: Simplify right side
    177,879,459x = 70,634,651,801,414,416
  5. Step 5: Solve for x
    x = 70,634,651,801,414,416/177,879,459
  6. Step 6: Final answer
    x = 397,092,796.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.