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Finding the Third Proportional to 234,230,220 and 508,782,320

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Solution

The third proportional to 234,230,220 and 508,782,320 is: 1,105,149,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,230,220 : 508,782,320 = 508,782,320 : x
  2. Step 2: Convert to fraction form
    234,230,220/508,782,320 = 508,782,320/x
  3. Step 3: Cross multiply
    234,230,220x = 508,782,320 × 508,782,320
  4. Step 4: Simplify right side
    234,230,220x = 258,859,449,144,582,400
  5. Step 5: Solve for x
    x = 258,859,449,144,582,400/234,230,220
  6. Step 6: Final answer
    x = 1,105,149,664.91

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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.