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Finding the Third Proportional to 258,876,024 and 554,598,616

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Solution

The third proportional to 258,876,024 and 554,598,616 is: 1,188,134,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,876,024 : 554,598,616 = 554,598,616 : x
  2. Step 2: Convert to fraction form
    258,876,024/554,598,616 = 554,598,616/x
  3. Step 3: Cross multiply
    258,876,024x = 554,598,616 × 554,598,616
  4. Step 4: Simplify right side
    258,876,024x = 307,579,624,869,115,456
  5. Step 5: Solve for x
    x = 307,579,624,869,115,456/258,876,024
  6. Step 6: Final answer
    x = 1,188,134,845.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.