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Finding the Third Proportional to 82,817,089.50 and 179,436,219

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Solution

The third proportional to 82,817,089.50 and 179,436,219 is: 388,776,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817,089.50 : 179,436,219 = 179,436,219 : x
  2. Step 2: Convert to fraction form
    82,817,089.50/179,436,219 = 179,436,219/x
  3. Step 3: Cross multiply
    82,817,089.50x = 179,436,219 × 179,436,219
  4. Step 4: Simplify right side
    82,817,089.50x = 32,197,356,689,015,960
  5. Step 5: Solve for x
    x = 32,197,356,689,015,960/82,817,089.50
  6. Step 6: Final answer
    x = 388,776,723.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.