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Finding the Third Proportional to 179,708,102 and 256,807,550

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Solution

The third proportional to 179,708,102 and 256,807,550 is: 366,984,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,708,102 : 256,807,550 = 256,807,550 : x
  2. Step 2: Convert to fraction form
    179,708,102/256,807,550 = 256,807,550/x
  3. Step 3: Cross multiply
    179,708,102x = 256,807,550 × 256,807,550
  4. Step 4: Simplify right side
    179,708,102x = 65,950,117,737,002,496
  5. Step 5: Solve for x
    x = 65,950,117,737,002,496/179,708,102
  6. Step 6: Final answer
    x = 366,984,665.71

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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.