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Finding the Third Proportional to 199,529,385,448 and 434,183,989,328

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Solution

The third proportional to 199,529,385,448 and 434,183,989,328 is: 944,801,870,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529,385,448 : 434,183,989,328 = 434,183,989,328 : x
  2. Step 2: Convert to fraction form
    199,529,385,448/434,183,989,328 = 434,183,989,328/x
  3. Step 3: Cross multiply
    199,529,385,448x = 434,183,989,328 × 434,183,989,328
  4. Step 4: Simplify right side
    199,529,385,448x = 188,515,736,588,776,827,256,832
  5. Step 5: Solve for x
    x = 188,515,736,588,776,827,256,832/199,529,385,448
  6. Step 6: Final answer
    x = 944,801,870,488.93

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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.