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Finding the Third Proportional to 227,153,520 and 494,106,673.50

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Solution

The third proportional to 227,153,520 and 494,106,673.50 is: 1,074,785,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,520 : 494,106,673.50 = 494,106,673.50 : x
  2. Step 2: Convert to fraction form
    227,153,520/494,106,673.50 = 494,106,673.50/x
  3. Step 3: Cross multiply
    227,153,520x = 494,106,673.50 × 494,106,673.50
  4. Step 4: Simplify right side
    227,153,520x = 244,141,404,797,235,616
  5. Step 5: Solve for x
    x = 244,141,404,797,235,616/227,153,520
  6. Step 6: Final answer
    x = 1,074,785,919.22

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Why These Related Problems?

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