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Finding the Third Proportional to 152,789,497.03 and 330,961,821.47

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Solution

The third proportional to 152,789,497.03 and 330,961,821.47 is: 716,906,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,789,497.03 : 330,961,821.47 = 330,961,821.47 : x
  2. Step 2: Convert to fraction form
    152,789,497.03/330,961,821.47 = 330,961,821.47/x
  3. Step 3: Cross multiply
    152,789,497.03x = 330,961,821.47 × 330,961,821.47
  4. Step 4: Simplify right side
    152,789,497.03x = 109,535,727,269,912,752
  5. Step 5: Solve for x
    x = 109,535,727,269,912,752/152,789,497.03
  6. Step 6: Final answer
    x = 716,906,131.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.