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Finding the Third Proportional to 106,806,724 and 219,275,590

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Solution

The third proportional to 106,806,724 and 219,275,590 is: 450,175,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,724 : 219,275,590 = 219,275,590 : x
  2. Step 2: Convert to fraction form
    106,806,724/219,275,590 = 219,275,590/x
  3. Step 3: Cross multiply
    106,806,724x = 219,275,590 × 219,275,590
  4. Step 4: Simplify right side
    106,806,724x = 48,081,784,369,848,096
  5. Step 5: Solve for x
    x = 48,081,784,369,848,096/106,806,724
  6. Step 6: Final answer
    x = 450,175,630.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.