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Finding the Third Proportional to 117,183,116 and 247,652,228

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Solution

The third proportional to 117,183,116 and 247,652,228 is: 523,382,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,183,116 : 247,652,228 = 247,652,228 : x
  2. Step 2: Convert to fraction form
    117,183,116/247,652,228 = 247,652,228/x
  3. Step 3: Cross multiply
    117,183,116x = 247,652,228 × 247,652,228
  4. Step 4: Simplify right side
    117,183,116x = 61,331,626,033,363,984
  5. Step 5: Solve for x
    x = 61,331,626,033,363,984/117,183,116
  6. Step 6: Final answer
    x = 523,382,788.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.