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Finding the Third Proportional to 152,100,004 and 328,446,296

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Solution

The third proportional to 152,100,004 and 328,446,296 is: 709,250,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100,004 : 328,446,296 = 328,446,296 : x
  2. Step 2: Convert to fraction form
    152,100,004/328,446,296 = 328,446,296/x
  3. Step 3: Cross multiply
    152,100,004x = 328,446,296 × 328,446,296
  4. Step 4: Simplify right side
    152,100,004x = 107,876,969,356,119,616
  5. Step 5: Solve for x
    x = 107,876,969,356,119,616/152,100,004
  6. Step 6: Final answer
    x = 709,250,272.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.