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Finding the Third Proportional to 156,564,474 and 333,284,340

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Solution

The third proportional to 156,564,474 and 333,284,340 is: 709,474,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564,474 : 333,284,340 = 333,284,340 : x
  2. Step 2: Convert to fraction form
    156,564,474/333,284,340 = 333,284,340/x
  3. Step 3: Cross multiply
    156,564,474x = 333,284,340 × 333,284,340
  4. Step 4: Simplify right side
    156,564,474x = 111,078,451,289,235,600
  5. Step 5: Solve for x
    x = 111,078,451,289,235,600/156,564,474
  6. Step 6: Final answer
    x = 709,474,176.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.