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Finding the Third Proportional to 204,394,830 and 448,360,916

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Solution

The third proportional to 204,394,830 and 448,360,916 is: 983,525,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394,830 : 448,360,916 = 448,360,916 : x
  2. Step 2: Convert to fraction form
    204,394,830/448,360,916 = 448,360,916/x
  3. Step 3: Cross multiply
    204,394,830x = 448,360,916 × 448,360,916
  4. Step 4: Simplify right side
    204,394,830x = 201,027,510,996,359,040
  5. Step 5: Solve for x
    x = 201,027,510,996,359,040/204,394,830
  6. Step 6: Final answer
    x = 983,525,419.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.