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Finding the Third Proportional to 173,407,836 and 284,675,058

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Solution

The third proportional to 173,407,836 and 284,675,058 is: 467,336,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,407,836 : 284,675,058 = 284,675,058 : x
  2. Step 2: Convert to fraction form
    173,407,836/284,675,058 = 284,675,058/x
  3. Step 3: Cross multiply
    173,407,836x = 284,675,058 × 284,675,058
  4. Step 4: Simplify right side
    173,407,836x = 81,039,888,647,303,360
  5. Step 5: Solve for x
    x = 81,039,888,647,303,360/173,407,836
  6. Step 6: Final answer
    x = 467,336,946.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.