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Finding the Third Proportional to 206,950,032 and 324,643,032

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Solution

The third proportional to 206,950,032 and 324,643,032 is: 509,268,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950,032 : 324,643,032 = 324,643,032 : x
  2. Step 2: Convert to fraction form
    206,950,032/324,643,032 = 324,643,032/x
  3. Step 3: Cross multiply
    206,950,032x = 324,643,032 × 324,643,032
  4. Step 4: Simplify right side
    206,950,032x = 105,393,098,226,153,024
  5. Step 5: Solve for x
    x = 105,393,098,226,153,024/206,950,032
  6. Step 6: Final answer
    x = 509,268,335.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.