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Finding the Third Proportional to 109,369,260 and 237,515,656.50

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Solution

The third proportional to 109,369,260 and 237,515,656.50 is: 515,809,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369,260 : 237,515,656.50 = 237,515,656.50 : x
  2. Step 2: Convert to fraction form
    109,369,260/237,515,656.50 = 237,515,656.50/x
  3. Step 3: Cross multiply
    109,369,260x = 237,515,656.50 × 237,515,656.50
  4. Step 4: Simplify right side
    109,369,260x = 56,413,687,082,625,992
  5. Step 5: Solve for x
    x = 56,413,687,082,625,992/109,369,260
  6. Step 6: Final answer
    x = 515,809,351.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.