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Finding the Third Proportional to 232,453,160 and 510,250,296

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Solution

The third proportional to 232,453,160 and 510,250,296 is: 1,120,033,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,453,160 : 510,250,296 = 510,250,296 : x
  2. Step 2: Convert to fraction form
    232,453,160/510,250,296 = 510,250,296/x
  3. Step 3: Cross multiply
    232,453,160x = 510,250,296 × 510,250,296
  4. Step 4: Simplify right side
    232,453,160x = 260,355,364,568,087,616
  5. Step 5: Solve for x
    x = 260,355,364,568,087,616/232,453,160
  6. Step 6: Final answer
    x = 1,120,033,664.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.