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Finding the Third Proportional to 237,659,791.50 and 510,461,145

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Solution

The third proportional to 237,659,791.50 and 510,461,145 is: 1,096,401,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,659,791.50 : 510,461,145 = 510,461,145 : x
  2. Step 2: Convert to fraction form
    237,659,791.50/510,461,145 = 510,461,145/x
  3. Step 3: Cross multiply
    237,659,791.50x = 510,461,145 × 510,461,145
  4. Step 4: Simplify right side
    237,659,791.50x = 260,570,580,554,711,040
  5. Step 5: Solve for x
    x = 260,570,580,554,711,040/237,659,791.50
  6. Step 6: Final answer
    x = 1,096,401,620.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.