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Finding the Third Proportional to 258,567,822 and 558,157,932

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Solution

The third proportional to 258,567,822 and 558,157,932 is: 1,204,868,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,567,822 : 558,157,932 = 558,157,932 : x
  2. Step 2: Convert to fraction form
    258,567,822/558,157,932 = 558,157,932/x
  3. Step 3: Cross multiply
    258,567,822x = 558,157,932 × 558,157,932
  4. Step 4: Simplify right side
    258,567,822x = 311,540,277,054,516,608
  5. Step 5: Solve for x
    x = 311,540,277,054,516,608/258,567,822
  6. Step 6: Final answer
    x = 1,204,868,705.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.