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Finding the Third Proportional to 234,230,160.38 and 508,782,176.44

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Solution

The third proportional to 234,230,160.38 and 508,782,176.44 is: 1,105,149,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,230,160.38 : 508,782,176.44 = 508,782,176.44 : x
  2. Step 2: Convert to fraction form
    234,230,160.38/508,782,176.44 = 508,782,176.44/x
  3. Step 3: Cross multiply
    234,230,160.38x = 508,782,176.44 × 508,782,176.44
  4. Step 4: Simplify right side
    234,230,160.38x = 258,859,303,060,479,392
  5. Step 5: Solve for x
    x = 258,859,303,060,479,392/234,230,160.38
  6. Step 6: Final answer
    x = 1,105,149,322.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.