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Finding the Third Proportional to 182,508,080 and 380,113,264

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Solution

The third proportional to 182,508,080 and 380,113,264 is: 791,669,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,508,080 : 380,113,264 = 380,113,264 : x
  2. Step 2: Convert to fraction form
    182,508,080/380,113,264 = 380,113,264/x
  3. Step 3: Cross multiply
    182,508,080x = 380,113,264 × 380,113,264
  4. Step 4: Simplify right side
    182,508,080x = 144,486,093,468,733,696
  5. Step 5: Solve for x
    x = 144,486,093,468,733,696/182,508,080
  6. Step 6: Final answer
    x = 791,669,571.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.