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Finding the Third Proportional to 70,760,192 and 106,638,928

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Solution

The third proportional to 70,760,192 and 106,638,928 is: 160,709,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,760,192 : 106,638,928 = 106,638,928 : x
  2. Step 2: Convert to fraction form
    70,760,192/106,638,928 = 106,638,928/x
  3. Step 3: Cross multiply
    70,760,192x = 106,638,928 × 106,638,928
  4. Step 4: Simplify right side
    70,760,192x = 11,371,860,964,989,184
  5. Step 5: Solve for x
    x = 11,371,860,964,989,184/70,760,192
  6. Step 6: Final answer
    x = 160,709,865.87

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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.