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Finding the Third Proportional to 105,627,006 and 226,872,513

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Solution

The third proportional to 105,627,006 and 226,872,513 is: 487,291,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627,006 : 226,872,513 = 226,872,513 : x
  2. Step 2: Convert to fraction form
    105,627,006/226,872,513 = 226,872,513/x
  3. Step 3: Cross multiply
    105,627,006x = 226,872,513 × 226,872,513
  4. Step 4: Simplify right side
    105,627,006x = 51,471,137,154,935,168
  5. Step 5: Solve for x
    x = 51,471,137,154,935,168/105,627,006
  6. Step 6: Final answer
    x = 487,291,452.29

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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.