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Finding the Third Proportional to 53,199,296 and 114,605,309

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Solution

The third proportional to 53,199,296 and 114,605,309 is: 246,890,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,199,296 : 114,605,309 = 114,605,309 : x
  2. Step 2: Convert to fraction form
    53,199,296/114,605,309 = 114,605,309/x
  3. Step 3: Cross multiply
    53,199,296x = 114,605,309 × 114,605,309
  4. Step 4: Simplify right side
    53,199,296x = 13,134,376,850,985,480
  5. Step 5: Solve for x
    x = 13,134,376,850,985,480/53,199,296
  6. Step 6: Final answer
    x = 246,890,050.03

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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.