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Finding the Third Proportional to 76,956,192 and 169,303,356

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Solution

The third proportional to 76,956,192 and 169,303,356 is: 372,466,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956,192 : 169,303,356 = 169,303,356 : x
  2. Step 2: Convert to fraction form
    76,956,192/169,303,356 = 169,303,356/x
  3. Step 3: Cross multiply
    76,956,192x = 169,303,356 × 169,303,356
  4. Step 4: Simplify right side
    76,956,192x = 28,663,626,352,862,736
  5. Step 5: Solve for x
    x = 28,663,626,352,862,736/76,956,192
  6. Step 6: Final answer
    x = 372,466,797.12

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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.