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Finding the Third Proportional to 82,027,228.50 and 119,926,674

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Solution

The third proportional to 82,027,228.50 and 119,926,674 is: 175,336,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,228.50 : 119,926,674 = 119,926,674 : x
  2. Step 2: Convert to fraction form
    82,027,228.50/119,926,674 = 119,926,674/x
  3. Step 3: Cross multiply
    82,027,228.50x = 119,926,674 × 119,926,674
  4. Step 4: Simplify right side
    82,027,228.50x = 14,382,407,136,702,276
  5. Step 5: Solve for x
    x = 14,382,407,136,702,276/82,027,228.50
  6. Step 6: Final answer
    x = 175,336,987.48

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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.