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Finding the Third Proportional to 200,836,048.50 and 304,285,461.75

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Solution

The third proportional to 200,836,048.50 and 304,285,461.75 is: 461,021,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,048.50 : 304,285,461.75 = 304,285,461.75 : x
  2. Step 2: Convert to fraction form
    200,836,048.50/304,285,461.75 = 304,285,461.75/x
  3. Step 3: Cross multiply
    200,836,048.50x = 304,285,461.75 × 304,285,461.75
  4. Step 4: Simplify right side
    200,836,048.50x = 92,589,642,232,410,720
  5. Step 5: Solve for x
    x = 92,589,642,232,410,720/200,836,048.50
  6. Step 6: Final answer
    x = 461,021,031.45

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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.