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Finding the Third Proportional to 74,243,194 and 109,091,401

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Solution

The third proportional to 74,243,194 and 109,091,401 is: 160,296,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,243,194 : 109,091,401 = 109,091,401 : x
  2. Step 2: Convert to fraction form
    74,243,194/109,091,401 = 109,091,401/x
  3. Step 3: Cross multiply
    74,243,194x = 109,091,401 × 109,091,401
  4. Step 4: Simplify right side
    74,243,194x = 11,900,933,772,142,800
  5. Step 5: Solve for x
    x = 11,900,933,772,142,800/74,243,194
  6. Step 6: Final answer
    x = 160,296,629.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.