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Finding the Third Proportional to 211,005,220 and 449,881,352

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Solution

The third proportional to 211,005,220 and 449,881,352 is: 959,185,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005,220 : 449,881,352 = 449,881,352 : x
  2. Step 2: Convert to fraction form
    211,005,220/449,881,352 = 449,881,352/x
  3. Step 3: Cross multiply
    211,005,220x = 449,881,352 × 449,881,352
  4. Step 4: Simplify right side
    211,005,220x = 202,393,230,877,347,904
  5. Step 5: Solve for x
    x = 202,393,230,877,347,904/211,005,220
  6. Step 6: Final answer
    x = 959,185,895.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.