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Finding the Third Proportional to 230,949,172.50 and 478,268,769

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Solution

The third proportional to 230,949,172.50 and 478,268,769 is: 990,438,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,949,172.50 : 478,268,769 = 478,268,769 : x
  2. Step 2: Convert to fraction form
    230,949,172.50/478,268,769 = 478,268,769/x
  3. Step 3: Cross multiply
    230,949,172.50x = 478,268,769 × 478,268,769
  4. Step 4: Simplify right side
    230,949,172.50x = 228,741,015,400,775,360
  5. Step 5: Solve for x
    x = 228,741,015,400,775,360/230,949,172.50
  6. Step 6: Final answer
    x = 990,438,774.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.