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Finding the Third Proportional to 202,983,696 and 309,234,168

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Solution

The third proportional to 202,983,696 and 309,234,168 is: 471,100,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983,696 : 309,234,168 = 309,234,168 : x
  2. Step 2: Convert to fraction form
    202,983,696/309,234,168 = 309,234,168/x
  3. Step 3: Cross multiply
    202,983,696x = 309,234,168 × 309,234,168
  4. Step 4: Simplify right side
    202,983,696x = 95,625,770,658,652,224
  5. Step 5: Solve for x
    x = 95,625,770,658,652,224/202,983,696
  6. Step 6: Final answer
    x = 471,100,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.