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Finding the Third Proportional to 127,241,226,945 and 189,758,419,294.50

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Solution

The third proportional to 127,241,226,945 and 189,758,419,294.50 is: 282,992,065,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,241,226,945 : 189,758,419,294.50 = 189,758,419,294.50 : x
  2. Step 2: Convert to fraction form
    127,241,226,945/189,758,419,294.50 = 189,758,419,294.50/x
  3. Step 3: Cross multiply
    127,241,226,945x = 189,758,419,294.50 × 189,758,419,294.50
  4. Step 4: Simplify right side
    127,241,226,945x = 36,008,257,693,147,270,742,016
  5. Step 5: Solve for x
    x = 36,008,257,693,147,270,742,016/127,241,226,945
  6. Step 6: Final answer
    x = 282,992,065,996.91

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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.