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Finding the Third Proportional to 259,865,098 and 577,831,936

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Solution

The third proportional to 259,865,098 and 577,831,936 is: 1,284,857,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,098 : 577,831,936 = 577,831,936 : x
  2. Step 2: Convert to fraction form
    259,865,098/577,831,936 = 577,831,936/x
  3. Step 3: Cross multiply
    259,865,098x = 577,831,936 × 577,831,936
  4. Step 4: Simplify right side
    259,865,098x = 333,889,746,261,508,096
  5. Step 5: Solve for x
    x = 333,889,746,261,508,096/259,865,098
  6. Step 6: Final answer
    x = 1,284,857,985.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.