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Finding the Third Proportional to 179,708,120 and 256,807,576

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Solution

The third proportional to 179,708,120 and 256,807,576 is: 366,984,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,708,120 : 256,807,576 = 256,807,576 : x
  2. Step 2: Convert to fraction form
    179,708,120/256,807,576 = 256,807,576/x
  3. Step 3: Cross multiply
    179,708,120x = 256,807,576 × 256,807,576
  4. Step 4: Simplify right side
    179,708,120x = 65,950,131,090,995,776
  5. Step 5: Solve for x
    x = 65,950,131,090,995,776/179,708,120
  6. Step 6: Final answer
    x = 366,984,703.26

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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.