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Finding the Third Proportional to 185,640,409.50 and 393,410,242.50

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Solution

The third proportional to 185,640,409.50 and 393,410,242.50 is: 833,717,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640,409.50 : 393,410,242.50 = 393,410,242.50 : x
  2. Step 2: Convert to fraction form
    185,640,409.50/393,410,242.50 = 393,410,242.50/x
  3. Step 3: Cross multiply
    185,640,409.50x = 393,410,242.50 × 393,410,242.50
  4. Step 4: Simplify right side
    185,640,409.50x = 154,771,618,903,908,800
  5. Step 5: Solve for x
    x = 154,771,618,903,908,800/185,640,409.50
  6. Step 6: Final answer
    x = 833,717,288.82

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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.