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Finding the Third Proportional to 126,025,346 and 188,827,779

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Solution

The third proportional to 126,025,346 and 188,827,779 is: 282,926,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,025,346 : 188,827,779 = 188,827,779 : x
  2. Step 2: Convert to fraction form
    126,025,346/188,827,779 = 188,827,779/x
  3. Step 3: Cross multiply
    126,025,346x = 188,827,779 × 188,827,779
  4. Step 4: Simplify right side
    126,025,346x = 35,655,930,122,072,840
  5. Step 5: Solve for x
    x = 35,655,930,122,072,840/126,025,346
  6. Step 6: Final answer
    x = 282,926,659.23

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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.