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Finding the Third Proportional to 161,410,716 and 256,960,770

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Solution

The third proportional to 161,410,716 and 256,960,770 is: 409,073,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,410,716 : 256,960,770 = 256,960,770 : x
  2. Step 2: Convert to fraction form
    161,410,716/256,960,770 = 256,960,770/x
  3. Step 3: Cross multiply
    161,410,716x = 256,960,770 × 256,960,770
  4. Step 4: Simplify right side
    161,410,716x = 66,028,837,318,992,896
  5. Step 5: Solve for x
    x = 66,028,837,318,992,896/161,410,716
  6. Step 6: Final answer
    x = 409,073,442.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.