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Finding the Third Proportional to 105,818,719 and 215,888,946

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Solution

The third proportional to 105,818,719 and 215,888,946 is: 440,451,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,818,719 : 215,888,946 = 215,888,946 : x
  2. Step 2: Convert to fraction form
    105,818,719/215,888,946 = 215,888,946/x
  3. Step 3: Cross multiply
    105,818,719x = 215,888,946 × 215,888,946
  4. Step 4: Simplify right side
    105,818,719x = 46,608,037,004,990,912
  5. Step 5: Solve for x
    x = 46,608,037,004,990,912/105,818,719
  6. Step 6: Final answer
    x = 440,451,722.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.