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Finding the Third Proportional to 82,027,229 and 119,926,673.50

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Solution

The third proportional to 82,027,229 and 119,926,673.50 is: 175,336,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,229 : 119,926,673.50 = 119,926,673.50 : x
  2. Step 2: Convert to fraction form
    82,027,229/119,926,673.50 = 119,926,673.50/x
  3. Step 3: Cross multiply
    82,027,229x = 119,926,673.50 × 119,926,673.50
  4. Step 4: Simplify right side
    82,027,229x = 14,382,407,016,775,602
  5. Step 5: Solve for x
    x = 14,382,407,016,775,602/82,027,229
  6. Step 6: Final answer
    x = 175,336,984.95

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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.