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Finding the Third Proportional to 200,836,044 and 304,285,453.88

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Solution

The third proportional to 200,836,044 and 304,285,453.88 is: 461,021,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,044 : 304,285,453.88 = 304,285,453.88 : x
  2. Step 2: Convert to fraction form
    200,836,044/304,285,453.88 = 304,285,453.88/x
  3. Step 3: Cross multiply
    200,836,044x = 304,285,453.88 × 304,285,453.88
  4. Step 4: Simplify right side
    200,836,044x = 92,589,637,439,914,752
  5. Step 5: Solve for x
    x = 92,589,637,439,914,752/200,836,044
  6. Step 6: Final answer
    x = 461,021,017.92

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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.