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Finding the Third Proportional to 209,483,746 and 455,227,405

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Solution

The third proportional to 209,483,746 and 455,227,405 is: 989,250,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483,746 : 455,227,405 = 455,227,405 : x
  2. Step 2: Convert to fraction form
    209,483,746/455,227,405 = 455,227,405/x
  3. Step 3: Cross multiply
    209,483,746x = 455,227,405 × 455,227,405
  4. Step 4: Simplify right side
    209,483,746x = 207,231,990,263,034,016
  5. Step 5: Solve for x
    x = 207,231,990,263,034,016/209,483,746
  6. Step 6: Final answer
    x = 989,250,928.63

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