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Finding the Third Proportional to 191,728,302 and 419,328,984

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Solution

The third proportional to 191,728,302 and 419,328,984 is: 917,114,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728,302 : 419,328,984 = 419,328,984 : x
  2. Step 2: Convert to fraction form
    191,728,302/419,328,984 = 419,328,984/x
  3. Step 3: Cross multiply
    191,728,302x = 419,328,984 × 419,328,984
  4. Step 4: Simplify right side
    191,728,302x = 175,836,796,822,472,256
  5. Step 5: Solve for x
    x = 175,836,796,822,472,256/191,728,302
  6. Step 6: Final answer
    x = 917,114,453.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.