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Finding the Third Proportional to 209,862,570.33 and 449,205,844.07

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Solution

The third proportional to 209,862,570.33 and 449,205,844.07 is: 961,514,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862,570.33 : 449,205,844.07 = 449,205,844.07 : x
  2. Step 2: Convert to fraction form
    209,862,570.33/449,205,844.07 = 449,205,844.07/x
  3. Step 3: Cross multiply
    209,862,570.33x = 449,205,844.07 × 449,205,844.07
  4. Step 4: Simplify right side
    209,862,570.33x = 201,785,890,348,024,704
  5. Step 5: Solve for x
    x = 201,785,890,348,024,704/209,862,570.33
  6. Step 6: Final answer
    x = 961,514,433.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.