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Finding the Third Proportional to 171,409,433.06 and 261,124,561.13

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Solution

The third proportional to 171,409,433.06 and 261,124,561.13 is: 397,796,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,409,433.06 : 261,124,561.13 = 261,124,561.13 : x
  2. Step 2: Convert to fraction form
    171,409,433.06/261,124,561.13 = 261,124,561.13/x
  3. Step 3: Cross multiply
    171,409,433.06x = 261,124,561.13 × 261,124,561.13
  4. Step 4: Simplify right side
    171,409,433.06x = 68,186,036,422,723,864
  5. Step 5: Solve for x
    x = 68,186,036,422,723,864/171,409,433.06
  6. Step 6: Final answer
    x = 397,796,289.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.