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Finding the Third Proportional to 165,013,612.50 and 349,697,832

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Solution

The third proportional to 165,013,612.50 and 349,697,832 is: 741,081,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,612.50 : 349,697,832 = 349,697,832 : x
  2. Step 2: Convert to fraction form
    165,013,612.50/349,697,832 = 349,697,832/x
  3. Step 3: Cross multiply
    165,013,612.50x = 349,697,832 × 349,697,832
  4. Step 4: Simplify right side
    165,013,612.50x = 122,288,573,705,500,224
  5. Step 5: Solve for x
    x = 122,288,573,705,500,224/165,013,612.50
  6. Step 6: Final answer
    x = 741,081,731.70

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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.