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Finding the Third Proportional to 179,708,110 and 256,807,562

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Solution

The third proportional to 179,708,110 and 256,807,562 is: 366,984,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,708,110 : 256,807,562 = 256,807,562 : x
  2. Step 2: Convert to fraction form
    179,708,110/256,807,562 = 256,807,562/x
  3. Step 3: Cross multiply
    179,708,110x = 256,807,562 × 256,807,562
  4. Step 4: Simplify right side
    179,708,110x = 65,950,123,900,383,840
  5. Step 5: Solve for x
    x = 65,950,123,900,383,840/179,708,110
  6. Step 6: Final answer
    x = 366,984,683.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.