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Finding the Third Proportional to 149,303,026 and 213,503,563

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Solution

The third proportional to 149,303,026 and 213,503,563 is: 305,310,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,303,026 : 213,503,563 = 213,503,563 : x
  2. Step 2: Convert to fraction form
    149,303,026/213,503,563 = 213,503,563/x
  3. Step 3: Cross multiply
    149,303,026x = 213,503,563 × 213,503,563
  4. Step 4: Simplify right side
    149,303,026x = 45,583,771,413,694,968
  5. Step 5: Solve for x
    x = 45,583,771,413,694,968/149,303,026
  6. Step 6: Final answer
    x = 305,310,432.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.