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Finding the Third Proportional to 166,538,578.50 and 360,878,152.50

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Solution

The third proportional to 166,538,578.50 and 360,878,152.50 is: 781,999,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538,578.50 : 360,878,152.50 = 360,878,152.50 : x
  2. Step 2: Convert to fraction form
    166,538,578.50/360,878,152.50 = 360,878,152.50/x
  3. Step 3: Cross multiply
    166,538,578.50x = 360,878,152.50 × 360,878,152.50
  4. Step 4: Simplify right side
    166,538,578.50x = 130,233,040,951,813,264
  5. Step 5: Solve for x
    x = 130,233,040,951,813,264/166,538,578.50
  6. Step 6: Final answer
    x = 781,999,234.80

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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.