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Finding the Third Proportional to 356,869,998 and 545,562,144

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Solution

The third proportional to 356,869,998 and 545,562,144 is: 834,023,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,869,998 : 545,562,144 = 545,562,144 : x
  2. Step 2: Convert to fraction form
    356,869,998/545,562,144 = 545,562,144/x
  3. Step 3: Cross multiply
    356,869,998x = 545,562,144 × 545,562,144
  4. Step 4: Simplify right side
    356,869,998x = 297,638,052,965,876,736
  5. Step 5: Solve for x
    x = 297,638,052,965,876,736/356,869,998
  6. Step 6: Final answer
    x = 834,023,747.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.