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Finding the Third Proportional to 209,862,572 and 449,205,848

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Solution

The third proportional to 209,862,572 and 449,205,848 is: 961,514,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862,572 : 449,205,848 = 449,205,848 : x
  2. Step 2: Convert to fraction form
    209,862,572/449,205,848 = 449,205,848/x
  3. Step 3: Cross multiply
    209,862,572x = 449,205,848 × 449,205,848
  4. Step 4: Simplify right side
    209,862,572x = 201,785,893,877,399,104
  5. Step 5: Solve for x
    x = 201,785,893,877,399,104/209,862,572
  6. Step 6: Final answer
    x = 961,514,442.31

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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.