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Finding the Third Proportional to 82,753,715.25 and 178,671,757.50

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Solution

The third proportional to 82,753,715.25 and 178,671,757.50 is: 385,766,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,753,715.25 : 178,671,757.50 = 178,671,757.50 : x
  2. Step 2: Convert to fraction form
    82,753,715.25/178,671,757.50 = 178,671,757.50/x
  3. Step 3: Cross multiply
    82,753,715.25x = 178,671,757.50 × 178,671,757.50
  4. Step 4: Simplify right side
    82,753,715.25x = 31,923,596,928,138,808
  5. Step 5: Solve for x
    x = 31,923,596,928,138,808/82,753,715.25
  6. Step 6: Final answer
    x = 385,766,328.82

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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.