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Finding the Third Proportional to 115,665,843 and 154,203,916.50

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Solution

The third proportional to 115,665,843 and 154,203,916.50 is: 205,582,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,665,843 : 154,203,916.50 = 154,203,916.50 : x
  2. Step 2: Convert to fraction form
    115,665,843/154,203,916.50 = 154,203,916.50/x
  3. Step 3: Cross multiply
    115,665,843x = 154,203,916.50 × 154,203,916.50
  4. Step 4: Simplify right side
    115,665,843x = 23,778,847,863,938,972
  5. Step 5: Solve for x
    x = 23,778,847,863,938,972/115,665,843
  6. Step 6: Final answer
    x = 205,582,281.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.