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Finding the Third Proportional to 171,345,744 and 261,036,130.50

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Solution

The third proportional to 171,345,744 and 261,036,130.50 is: 397,674,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,744 : 261,036,130.50 = 261,036,130.50 : x
  2. Step 2: Convert to fraction form
    171,345,744/261,036,130.50 = 261,036,130.50/x
  3. Step 3: Cross multiply
    171,345,744x = 261,036,130.50 × 261,036,130.50
  4. Step 4: Simplify right side
    171,345,744x = 68,139,861,426,413,032
  5. Step 5: Solve for x
    x = 68,139,861,426,413,032/171,345,744
  6. Step 6: Final answer
    x = 397,674,665.48

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