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Finding the Third Proportional to 162,202,826 and 335,903,116

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Solution

The third proportional to 162,202,826 and 335,903,116 is: 695,616,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202,826 : 335,903,116 = 335,903,116 : x
  2. Step 2: Convert to fraction form
    162,202,826/335,903,116 = 335,903,116/x
  3. Step 3: Cross multiply
    162,202,826x = 335,903,116 × 335,903,116
  4. Step 4: Simplify right side
    162,202,826x = 112,830,903,338,509,456
  5. Step 5: Solve for x
    x = 112,830,903,338,509,456/162,202,826
  6. Step 6: Final answer
    x = 695,616,137.65

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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.