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Finding the Third Proportional to 161,611,740 and 345,913,848

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Solution

The third proportional to 161,611,740 and 345,913,848 is: 740,394,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,611,740 : 345,913,848 = 345,913,848 : x
  2. Step 2: Convert to fraction form
    161,611,740/345,913,848 = 345,913,848/x
  3. Step 3: Cross multiply
    161,611,740x = 345,913,848 × 345,913,848
  4. Step 4: Simplify right side
    161,611,740x = 119,656,390,238,167,104
  5. Step 5: Solve for x
    x = 119,656,390,238,167,104/161,611,740
  6. Step 6: Final answer
    x = 740,394,170.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.