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Finding the Third Proportional to 68,968,926 and 114,943,401

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Solution

The third proportional to 68,968,926 and 114,943,401 is: 191,564,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,968,926 : 114,943,401 = 114,943,401 : x
  2. Step 2: Convert to fraction form
    68,968,926/114,943,401 = 114,943,401/x
  3. Step 3: Cross multiply
    68,968,926x = 114,943,401 × 114,943,401
  4. Step 4: Simplify right side
    68,968,926x = 13,211,985,433,446,800
  5. Step 5: Solve for x
    x = 13,211,985,433,446,800/68,968,926
  6. Step 6: Final answer
    x = 191,564,320.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.