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Finding the Third Proportional to 283,258,212 and 609,563,196

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Solution

The third proportional to 283,258,212 and 609,563,196 is: 1,311,761,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,212 : 609,563,196 = 609,563,196 : x
  2. Step 2: Convert to fraction form
    283,258,212/609,563,196 = 609,563,196/x
  3. Step 3: Cross multiply
    283,258,212x = 609,563,196 × 609,563,196
  4. Step 4: Simplify right side
    283,258,212x = 371,567,289,917,734,400
  5. Step 5: Solve for x
    x = 371,567,289,917,734,400/283,258,212
  6. Step 6: Final answer
    x = 1,311,761,757.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.