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Finding the Third Proportional to 183,382,994 and 274,348,339

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Solution

The third proportional to 183,382,994 and 274,348,339 is: 410,436,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,382,994 : 274,348,339 = 274,348,339 : x
  2. Step 2: Convert to fraction form
    183,382,994/274,348,339 = 274,348,339/x
  3. Step 3: Cross multiply
    183,382,994x = 274,348,339 × 274,348,339
  4. Step 4: Simplify right side
    183,382,994x = 75,267,011,112,058,928
  5. Step 5: Solve for x
    x = 75,267,011,112,058,928/183,382,994
  6. Step 6: Final answer
    x = 410,436,155.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.