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Finding the Third Proportional to 84,422,641.50 and 126,136,993.50

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Solution

The third proportional to 84,422,641.50 and 126,136,993.50 is: 188,462,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422,641.50 : 126,136,993.50 = 126,136,993.50 : x
  2. Step 2: Convert to fraction form
    84,422,641.50/126,136,993.50 = 126,136,993.50/x
  3. Step 3: Cross multiply
    84,422,641.50x = 126,136,993.50 × 126,136,993.50
  4. Step 4: Simplify right side
    84,422,641.50x = 15,910,541,129,219,042
  5. Step 5: Solve for x
    x = 15,910,541,129,219,042/84,422,641.50
  6. Step 6: Final answer
    x = 188,462,962.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.