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Finding the Third Proportional to 106,405,701 and 229,220,461.50

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Solution

The third proportional to 106,405,701 and 229,220,461.50 is: 493,789,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405,701 : 229,220,461.50 = 229,220,461.50 : x
  2. Step 2: Convert to fraction form
    106,405,701/229,220,461.50 = 229,220,461.50/x
  3. Step 3: Cross multiply
    106,405,701x = 229,220,461.50 × 229,220,461.50
  4. Step 4: Simplify right side
    106,405,701x = 52,542,019,970,272,984
  5. Step 5: Solve for x
    x = 52,542,019,970,272,984/106,405,701
  6. Step 6: Final answer
    x = 493,789,519.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.