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Finding the Third Proportional to 234,230,216 and 508,782,312

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Solution

The third proportional to 234,230,216 and 508,782,312 is: 1,105,149,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,230,216 : 508,782,312 = 508,782,312 : x
  2. Step 2: Convert to fraction form
    234,230,216/508,782,312 = 508,782,312/x
  3. Step 3: Cross multiply
    234,230,216x = 508,782,312 × 508,782,312
  4. Step 4: Simplify right side
    234,230,216x = 258,859,441,004,065,344
  5. Step 5: Solve for x
    x = 258,859,441,004,065,344/234,230,216
  6. Step 6: Final answer
    x = 1,105,149,649.03

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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.