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Finding the Third Proportional to 101,223,500 and 209,624,734

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Solution

The third proportional to 101,223,500 and 209,624,734 is: 434,113,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,500 : 209,624,734 = 209,624,734 : x
  2. Step 2: Convert to fraction form
    101,223,500/209,624,734 = 209,624,734/x
  3. Step 3: Cross multiply
    101,223,500x = 209,624,734 × 209,624,734
  4. Step 4: Simplify right side
    101,223,500x = 43,942,529,104,570,752
  5. Step 5: Solve for x
    x = 43,942,529,104,570,752/101,223,500
  6. Step 6: Final answer
    x = 434,113,907.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.