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Finding the Third Proportional to 115,665,870 and 154,203,957

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Solution

The third proportional to 115,665,870 and 154,203,957 is: 205,582,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,665,870 : 154,203,957 = 154,203,957 : x
  2. Step 2: Convert to fraction form
    115,665,870/154,203,957 = 154,203,957/x
  3. Step 3: Cross multiply
    115,665,870x = 154,203,957 × 154,203,957
  4. Step 4: Simplify right side
    115,665,870x = 23,778,860,354,457,848
  5. Step 5: Solve for x
    x = 23,778,860,354,457,848/115,665,870
  6. Step 6: Final answer
    x = 205,582,341.23

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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.