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Finding the Third Proportional to 203,299,194 and 314,130,960

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Solution

The third proportional to 203,299,194 and 314,130,960 is: 485,384,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,299,194 : 314,130,960 = 314,130,960 : x
  2. Step 2: Convert to fraction form
    203,299,194/314,130,960 = 314,130,960/x
  3. Step 3: Cross multiply
    203,299,194x = 314,130,960 × 314,130,960
  4. Step 4: Simplify right side
    203,299,194x = 98,678,260,030,521,600
  5. Step 5: Solve for x
    x = 98,678,260,030,521,600/203,299,194
  6. Step 6: Final answer
    x = 485,384,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.