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Finding the Third Proportional to 82,027,227 and 119,926,671.50

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Solution

The third proportional to 82,027,227 and 119,926,671.50 is: 175,336,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,227 : 119,926,671.50 = 119,926,671.50 : x
  2. Step 2: Convert to fraction form
    82,027,227/119,926,671.50 = 119,926,671.50/x
  3. Step 3: Cross multiply
    82,027,227x = 119,926,671.50 × 119,926,671.50
  4. Step 4: Simplify right side
    82,027,227x = 14,382,406,537,068,912
  5. Step 5: Solve for x
    x = 14,382,406,537,068,912/82,027,227
  6. Step 6: Final answer
    x = 175,336,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.