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Finding the Third Proportional to 546,231,108.94 and 798,608,982.66

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Solution

The third proportional to 546,231,108.94 and 798,608,982.66 is: 1,167,594,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,231,108.94 : 798,608,982.66 = 798,608,982.66 : x
  2. Step 2: Convert to fraction form
    546,231,108.94/798,608,982.66 = 798,608,982.66/x
  3. Step 3: Cross multiply
    546,231,108.94x = 798,608,982.66 × 798,608,982.66
  4. Step 4: Simplify right side
    546,231,108.94x = 637,776,307,179,250,560
  5. Step 5: Solve for x
    x = 637,776,307,179,250,560/546,231,108.94
  6. Step 6: Final answer
    x = 1,167,594,259.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.