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Finding the Third Proportional to 185,640,312 and 393,410,058

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Solution

The third proportional to 185,640,312 and 393,410,058 is: 833,716,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640,312 : 393,410,058 = 393,410,058 : x
  2. Step 2: Convert to fraction form
    185,640,312/393,410,058 = 393,410,058/x
  3. Step 3: Cross multiply
    185,640,312x = 393,410,058 × 393,410,058
  4. Step 4: Simplify right side
    185,640,312x = 154,771,473,735,563,360
  5. Step 5: Solve for x
    x = 154,771,473,735,563,360/185,640,312
  6. Step 6: Final answer
    x = 833,716,944.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.