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Finding the Third Proportional to 185,640,318 and 393,410,070

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Solution

The third proportional to 185,640,318 and 393,410,070 is: 833,716,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640,318 : 393,410,070 = 393,410,070 : x
  2. Step 2: Convert to fraction form
    185,640,318/393,410,070 = 393,410,070/x
  3. Step 3: Cross multiply
    185,640,318x = 393,410,070 × 393,410,070
  4. Step 4: Simplify right side
    185,640,318x = 154,771,483,177,404,896
  5. Step 5: Solve for x
    x = 154,771,483,177,404,896/185,640,318
  6. Step 6: Final answer
    x = 833,716,968.62

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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.