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Finding the Third Proportional to 208,595,214 and 453,473,694

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Solution

The third proportional to 208,595,214 and 453,473,694 is: 985,825,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,595,214 : 453,473,694 = 453,473,694 : x
  2. Step 2: Convert to fraction form
    208,595,214/453,473,694 = 453,473,694/x
  3. Step 3: Cross multiply
    208,595,214x = 453,473,694 × 453,473,694
  4. Step 4: Simplify right side
    208,595,214x = 205,638,391,150,005,632
  5. Step 5: Solve for x
    x = 205,638,391,150,005,632/208,595,214
  6. Step 6: Final answer
    x = 985,825,068.59

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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.