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Finding the Third Proportional to 258,946,069 and 554,827,234

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Solution

The third proportional to 258,946,069 and 554,827,234 is: 1,188,792,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946,069 : 554,827,234 = 554,827,234 : x
  2. Step 2: Convert to fraction form
    258,946,069/554,827,234 = 554,827,234/x
  3. Step 3: Cross multiply
    258,946,069x = 554,827,234 × 554,827,234
  4. Step 4: Simplify right side
    258,946,069x = 307,833,259,588,090,752
  5. Step 5: Solve for x
    x = 307,833,259,588,090,752/258,946,069
  6. Step 6: Final answer
    x = 1,188,792,943.55

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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.