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Finding the Third Proportional to 76,956,206 and 169,303,384

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Solution

The third proportional to 76,956,206 and 169,303,384 is: 372,466,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956,206 : 169,303,384 = 169,303,384 : x
  2. Step 2: Convert to fraction form
    76,956,206/169,303,384 = 169,303,384/x
  3. Step 3: Cross multiply
    76,956,206x = 169,303,384 × 169,303,384
  4. Step 4: Simplify right side
    76,956,206x = 28,663,635,833,851,456
  5. Step 5: Solve for x
    x = 28,663,635,833,851,456/76,956,206
  6. Step 6: Final answer
    x = 372,466,852.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.