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Finding the Third Proportional to 178,035,698.25 and 379,587,478.50

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Solution

The third proportional to 178,035,698.25 and 379,587,478.50 is: 809,313,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,035,698.25 : 379,587,478.50 = 379,587,478.50 : x
  2. Step 2: Convert to fraction form
    178,035,698.25/379,587,478.50 = 379,587,478.50/x
  3. Step 3: Cross multiply
    178,035,698.25x = 379,587,478.50 × 379,587,478.50
  4. Step 4: Simplify right side
    178,035,698.25x = 144,086,653,833,987,968
  5. Step 5: Solve for x
    x = 144,086,653,833,987,968/178,035,698.25
  6. Step 6: Final answer
    x = 809,313,273.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.