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Finding the Third Proportional to 76,703,806 and 164,791,676

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Solution

The third proportional to 76,703,806 and 164,791,676 is: 354,041,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703,806 : 164,791,676 = 164,791,676 : x
  2. Step 2: Convert to fraction form
    76,703,806/164,791,676 = 164,791,676/x
  3. Step 3: Cross multiply
    76,703,806x = 164,791,676 × 164,791,676
  4. Step 4: Simplify right side
    76,703,806x = 27,156,296,478,888,976
  5. Step 5: Solve for x
    x = 27,156,296,478,888,976/76,703,806
  6. Step 6: Final answer
    x = 354,041,056.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.