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Finding the Third Proportional to 137,303,164 and 203,578,938

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Solution

The third proportional to 137,303,164 and 203,578,938 is: 301,845,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,303,164 : 203,578,938 = 203,578,938 : x
  2. Step 2: Convert to fraction form
    137,303,164/203,578,938 = 203,578,938/x
  3. Step 3: Cross multiply
    137,303,164x = 203,578,938 × 203,578,938
  4. Step 4: Simplify right side
    137,303,164x = 41,444,383,997,207,840
  5. Step 5: Solve for x
    x = 41,444,383,997,207,840/137,303,164
  6. Step 6: Final answer
    x = 301,845,804.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.