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Finding the Third Proportional to 220,145,954.63 and 471,805,053.75

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Solution

The third proportional to 220,145,954.63 and 471,805,053.75 is: 1,011,147,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,145,954.63 : 471,805,053.75 = 471,805,053.75 : x
  2. Step 2: Convert to fraction form
    220,145,954.63/471,805,053.75 = 471,805,053.75/x
  3. Step 3: Cross multiply
    220,145,954.63x = 471,805,053.75 × 471,805,053.75
  4. Step 4: Simplify right side
    220,145,954.63x = 222,600,008,744,040,384
  5. Step 5: Solve for x
    x = 222,600,008,744,040,384/220,145,954.63
  6. Step 6: Final answer
    x = 1,011,147,395.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.