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Finding the Third Proportional to 202,843,144 and 303,070,649

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Solution

The third proportional to 202,843,144 and 303,070,649 is: 452,821,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843,144 : 303,070,649 = 303,070,649 : x
  2. Step 2: Convert to fraction form
    202,843,144/303,070,649 = 303,070,649/x
  3. Step 3: Cross multiply
    202,843,144x = 303,070,649 × 303,070,649
  4. Step 4: Simplify right side
    202,843,144x = 91,851,818,285,281,200
  5. Step 5: Solve for x
    x = 91,851,818,285,281,200/202,843,144
  6. Step 6: Final answer
    x = 452,821,902.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.