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Finding the Third Proportional to 103,659,303 and 226,842,126

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Solution

The third proportional to 103,659,303 and 226,842,126 is: 496,408,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,303 : 226,842,126 = 226,842,126 : x
  2. Step 2: Convert to fraction form
    103,659,303/226,842,126 = 226,842,126/x
  3. Step 3: Cross multiply
    103,659,303x = 226,842,126 × 226,842,126
  4. Step 4: Simplify right side
    103,659,303x = 51,457,350,128,199,872
  5. Step 5: Solve for x
    x = 51,457,350,128,199,872/103,659,303
  6. Step 6: Final answer
    x = 496,408,413.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.