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Finding the Third Proportional to 177,553,800 and 389,049,804

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Solution

The third proportional to 177,553,800 and 389,049,804 is: 852,472,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,553,800 : 389,049,804 = 389,049,804 : x
  2. Step 2: Convert to fraction form
    177,553,800/389,049,804 = 389,049,804/x
  3. Step 3: Cross multiply
    177,553,800x = 389,049,804 × 389,049,804
  4. Step 4: Simplify right side
    177,553,800x = 151,359,749,992,438,400
  5. Step 5: Solve for x
    x = 151,359,749,992,438,400/177,553,800
  6. Step 6: Final answer
    x = 852,472,602.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.