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Finding the Third Proportional to 204,944,430.66 and 446,277,796.17

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Solution

The third proportional to 204,944,430.66 and 446,277,796.17 is: 971,794,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,944,430.66 : 446,277,796.17 = 446,277,796.17 : x
  2. Step 2: Convert to fraction form
    204,944,430.66/446,277,796.17 = 446,277,796.17/x
  3. Step 3: Cross multiply
    204,944,430.66x = 446,277,796.17 × 446,277,796.17
  4. Step 4: Simplify right side
    204,944,430.66x = 199,163,871,356,030,080
  5. Step 5: Solve for x
    x = 199,163,871,356,030,080/204,944,430.66
  6. Step 6: Final answer
    x = 971,794,504.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.