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Finding the Third Proportional to 92,048,278.50 and 204,528,604.50

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Solution

The third proportional to 92,048,278.50 and 204,528,604.50 is: 454,456,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,048,278.50 : 204,528,604.50 = 204,528,604.50 : x
  2. Step 2: Convert to fraction form
    92,048,278.50/204,528,604.50 = 204,528,604.50/x
  3. Step 3: Cross multiply
    92,048,278.50x = 204,528,604.50 × 204,528,604.50
  4. Step 4: Simplify right side
    92,048,278.50x = 41,831,950,058,717,424
  5. Step 5: Solve for x
    x = 41,831,950,058,717,424/92,048,278.50
  6. Step 6: Final answer
    x = 454,456,625.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.