Home / 105,400,219.50-228,392,016.75

Finding the Third Proportional to 105,400,219.50 and 228,392,016.75

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Solution

The third proportional to 105,400,219.50 and 228,392,016.75 is: 494,903,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,400,219.50 : 228,392,016.75 = 228,392,016.75 : x
  2. Step 2: Convert to fraction form
    105,400,219.50/228,392,016.75 = 228,392,016.75/x
  3. Step 3: Cross multiply
    105,400,219.50x = 228,392,016.75 × 228,392,016.75
  4. Step 4: Simplify right side
    105,400,219.50x = 52,162,913,315,132,280
  5. Step 5: Solve for x
    x = 52,162,913,315,132,280/105,400,219.50
  6. Step 6: Final answer
    x = 494,903,270.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.