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Finding the Third Proportional to 258,946,073 and 554,827,243

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Solution

The third proportional to 258,946,073 and 554,827,243 is: 1,188,792,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946,073 : 554,827,243 = 554,827,243 : x
  2. Step 2: Convert to fraction form
    258,946,073/554,827,243 = 554,827,243/x
  3. Step 3: Cross multiply
    258,946,073x = 554,827,243 × 554,827,243
  4. Step 4: Simplify right side
    258,946,073x = 307,833,269,574,981,056
  5. Step 5: Solve for x
    x = 307,833,269,574,981,056/258,946,073
  6. Step 6: Final answer
    x = 1,188,792,963.76

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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.