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Finding the Third Proportional to 71,100,006 and 106,184,097

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Solution

The third proportional to 71,100,006 and 106,184,097 is: 158,580,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100,006 : 106,184,097 = 106,184,097 : x
  2. Step 2: Convert to fraction form
    71,100,006/106,184,097 = 106,184,097/x
  3. Step 3: Cross multiply
    71,100,006x = 106,184,097 × 106,184,097
  4. Step 4: Simplify right side
    71,100,006x = 11,275,062,455,705,408
  5. Step 5: Solve for x
    x = 11,275,062,455,705,408/71,100,006
  6. Step 6: Final answer
    x = 158,580,330.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.