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Finding the Third Proportional to 105,577,946 and 220,808,932

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Solution

The third proportional to 105,577,946 and 220,808,932 is: 461,806,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577,946 : 220,808,932 = 220,808,932 : x
  2. Step 2: Convert to fraction form
    105,577,946/220,808,932 = 220,808,932/x
  3. Step 3: Cross multiply
    105,577,946x = 220,808,932 × 220,808,932
  4. Step 4: Simplify right side
    105,577,946x = 48,756,584,450,980,624
  5. Step 5: Solve for x
    x = 48,756,584,450,980,624/105,577,946
  6. Step 6: Final answer
    x = 461,806,525.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.