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Finding the Third Proportional to 106,280,264,523 and 234,223,831,791

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Solution

The third proportional to 106,280,264,523 and 234,223,831,791 is: 516,189,940,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,280,264,523 : 234,223,831,791 = 234,223,831,791 : x
  2. Step 2: Convert to fraction form
    106,280,264,523/234,223,831,791 = 234,223,831,791/x
  3. Step 3: Cross multiply
    106,280,264,523x = 234,223,831,791 × 234,223,831,791
  4. Step 4: Simplify right side
    106,280,264,523x = 54,860,803,378,858,665,443,328
  5. Step 5: Solve for x
    x = 54,860,803,378,858,665,443,328/106,280,264,523
  6. Step 6: Final answer
    x = 516,189,940,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.