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Finding the Third Proportional to 137,236,041 and 301,345,938

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Solution

The third proportional to 137,236,041 and 301,345,938 is: 661,702,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,236,041 : 301,345,938 = 301,345,938 : x
  2. Step 2: Convert to fraction form
    137,236,041/301,345,938 = 301,345,938/x
  3. Step 3: Cross multiply
    137,236,041x = 301,345,938 × 301,345,938
  4. Step 4: Simplify right side
    137,236,041x = 90,809,374,349,099,840
  5. Step 5: Solve for x
    x = 90,809,374,349,099,840/137,236,041
  6. Step 6: Final answer
    x = 661,702,084.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.