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Finding the Third Proportional to 106,525,755 and 229,230,909

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Solution

The third proportional to 106,525,755 and 229,230,909 is: 493,277,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,755 : 229,230,909 = 229,230,909 : x
  2. Step 2: Convert to fraction form
    106,525,755/229,230,909 = 229,230,909/x
  3. Step 3: Cross multiply
    106,525,755x = 229,230,909 × 229,230,909
  4. Step 4: Simplify right side
    106,525,755x = 52,546,809,640,966,280
  5. Step 5: Solve for x
    x = 52,546,809,640,966,280/106,525,755
  6. Step 6: Final answer
    x = 493,277,983.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.