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Finding the Third Proportional to 156,003,881 and 338,038,354

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Solution

The third proportional to 156,003,881 and 338,038,354 is: 732,481,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,003,881 : 338,038,354 = 338,038,354 : x
  2. Step 2: Convert to fraction form
    156,003,881/338,038,354 = 338,038,354/x
  3. Step 3: Cross multiply
    156,003,881x = 338,038,354 × 338,038,354
  4. Step 4: Simplify right side
    156,003,881x = 114,269,928,775,029,312
  5. Step 5: Solve for x
    x = 114,269,928,775,029,312/156,003,881
  6. Step 6: Final answer
    x = 732,481,320.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.