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Finding the Third Proportional to 70,760,184 and 106,638,912

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Solution

The third proportional to 70,760,184 and 106,638,912 is: 160,709,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,760,184 : 106,638,912 = 106,638,912 : x
  2. Step 2: Convert to fraction form
    70,760,184/106,638,912 = 106,638,912/x
  3. Step 3: Cross multiply
    70,760,184x = 106,638,912 × 106,638,912
  4. Step 4: Simplify right side
    70,760,184x = 11,371,857,552,543,744
  5. Step 5: Solve for x
    x = 11,371,857,552,543,744/70,760,184
  6. Step 6: Final answer
    x = 160,709,835.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.