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Finding the Third Proportional to 77,211,063 and 160,773,174

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Solution

The third proportional to 77,211,063 and 160,773,174 is: 334,770,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211,063 : 160,773,174 = 160,773,174 : x
  2. Step 2: Convert to fraction form
    77,211,063/160,773,174 = 160,773,174/x
  3. Step 3: Cross multiply
    77,211,063x = 160,773,174 × 160,773,174
  4. Step 4: Simplify right side
    77,211,063x = 25,848,013,478,034,276
  5. Step 5: Solve for x
    x = 25,848,013,478,034,276/77,211,063
  6. Step 6: Final answer
    x = 334,770,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.