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Finding the Third Proportional to 178,035,726 and 379,587,524

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Solution

The third proportional to 178,035,726 and 379,587,524 is: 809,313,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,035,726 : 379,587,524 = 379,587,524 : x
  2. Step 2: Convert to fraction form
    178,035,726/379,587,524 = 379,587,524/x
  3. Step 3: Cross multiply
    178,035,726x = 379,587,524 × 379,587,524
  4. Step 4: Simplify right side
    178,035,726x = 144,086,688,376,450,576
  5. Step 5: Solve for x
    x = 144,086,688,376,450,576/178,035,726
  6. Step 6: Final answer
    x = 809,313,341.84

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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.