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Finding the Third Proportional to 227,218,051.76 and 345,408,452.51

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Solution

The third proportional to 227,218,051.76 and 345,408,452.51 is: 525,077,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,218,051.76 : 345,408,452.51 = 345,408,452.51 : x
  2. Step 2: Convert to fraction form
    227,218,051.76/345,408,452.51 = 345,408,452.51/x
  3. Step 3: Cross multiply
    227,218,051.76x = 345,408,452.51 × 345,408,452.51
  4. Step 4: Simplify right side
    227,218,051.76x = 119,306,999,063,840,032
  5. Step 5: Solve for x
    x = 119,306,999,063,840,032/227,218,051.76
  6. Step 6: Final answer
    x = 525,077,114.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.