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Finding the Third Proportional to 228,169,462 and 498,150,464

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Solution

The third proportional to 228,169,462 and 498,150,464 is: 1,087,585,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,169,462 : 498,150,464 = 498,150,464 : x
  2. Step 2: Convert to fraction form
    228,169,462/498,150,464 = 498,150,464/x
  3. Step 3: Cross multiply
    228,169,462x = 498,150,464 × 498,150,464
  4. Step 4: Simplify right side
    228,169,462x = 248,153,884,783,415,296
  5. Step 5: Solve for x
    x = 248,153,884,783,415,296/228,169,462
  6. Step 6: Final answer
    x = 1,087,585,878.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.