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Finding the Third Proportional to 76,857,621.75 and 165,962,158.50

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Solution

The third proportional to 76,857,621.75 and 165,962,158.50 is: 358,369,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857,621.75 : 165,962,158.50 = 165,962,158.50 : x
  2. Step 2: Convert to fraction form
    76,857,621.75/165,962,158.50 = 165,962,158.50/x
  3. Step 3: Cross multiply
    76,857,621.75x = 165,962,158.50 × 165,962,158.50
  4. Step 4: Simplify right side
    76,857,621.75x = 27,543,438,053,979,124
  5. Step 5: Solve for x
    x = 27,543,438,053,979,124/76,857,621.75
  6. Step 6: Final answer
    x = 358,369,637.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.