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Finding the Third Proportional to 126,025,344 and 188,827,776

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Solution

The third proportional to 126,025,344 and 188,827,776 is: 282,926,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,025,344 : 188,827,776 = 188,827,776 : x
  2. Step 2: Convert to fraction form
    126,025,344/188,827,776 = 188,827,776/x
  3. Step 3: Cross multiply
    126,025,344x = 188,827,776 × 188,827,776
  4. Step 4: Simplify right side
    126,025,344x = 35,655,928,989,106,176
  5. Step 5: Solve for x
    x = 35,655,928,989,106,176/126,025,344
  6. Step 6: Final answer
    x = 282,926,654.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.