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Finding the Third Proportional to 65,483,131 and 109,131,974.50

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Solution

The third proportional to 65,483,131 and 109,131,974.50 is: 181,875,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,483,131 : 109,131,974.50 = 109,131,974.50 : x
  2. Step 2: Convert to fraction form
    65,483,131/109,131,974.50 = 109,131,974.50/x
  3. Step 3: Cross multiply
    65,483,131x = 109,131,974.50 × 109,131,974.50
  4. Step 4: Simplify right side
    65,483,131x = 11,909,787,858,268,650
  5. Step 5: Solve for x
    x = 11,909,787,858,268,650/65,483,131
  6. Step 6: Final answer
    x = 181,875,662.88

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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.