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Finding the Third Proportional to 299,755,225.50 and 449,632,807.50

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Solution

The third proportional to 299,755,225.50 and 449,632,807.50 is: 674,449,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,225.50 : 449,632,807.50 = 449,632,807.50 : x
  2. Step 2: Convert to fraction form
    299,755,225.50/449,632,807.50 = 449,632,807.50/x
  3. Step 3: Cross multiply
    299,755,225.50x = 449,632,807.50 × 449,632,807.50
  4. Step 4: Simplify right side
    299,755,225.50x = 202,169,661,580,332,064
  5. Step 5: Solve for x
    x = 202,169,661,580,332,064/299,755,225.50
  6. Step 6: Final answer
    x = 674,449,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.