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Finding the Third Proportional to 171,000,296 and 358,796,752

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Solution

The third proportional to 171,000,296 and 358,796,752 is: 752,835,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,000,296 : 358,796,752 = 358,796,752 : x
  2. Step 2: Convert to fraction form
    171,000,296/358,796,752 = 358,796,752/x
  3. Step 3: Cross multiply
    171,000,296x = 358,796,752 × 358,796,752
  4. Step 4: Simplify right side
    171,000,296x = 128,735,109,245,749,504
  5. Step 5: Solve for x
    x = 128,735,109,245,749,504/171,000,296
  6. Step 6: Final answer
    x = 752,835,593.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.