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Finding the Third Proportional to 258,945,984 and 554,827,077

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Solution

The third proportional to 258,945,984 and 554,827,077 is: 1,188,792,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,945,984 : 554,827,077 = 554,827,077 : x
  2. Step 2: Convert to fraction form
    258,945,984/554,827,077 = 554,827,077/x
  3. Step 3: Cross multiply
    258,945,984x = 554,827,077 × 554,827,077
  4. Step 4: Simplify right side
    258,945,984x = 307,833,085,372,363,904
  5. Step 5: Solve for x
    x = 307,833,085,372,363,904/258,945,984
  6. Step 6: Final answer
    x = 1,188,792,660.99

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Why These Related Problems?

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