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Finding the Third Proportional to 211,005,264 and 449,881,440

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Solution

The third proportional to 211,005,264 and 449,881,440 is: 959,186,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005,264 : 449,881,440 = 449,881,440 : x
  2. Step 2: Convert to fraction form
    211,005,264/449,881,440 = 449,881,440/x
  3. Step 3: Cross multiply
    211,005,264x = 449,881,440 × 449,881,440
  4. Step 4: Simplify right side
    211,005,264x = 202,393,310,056,473,600
  5. Step 5: Solve for x
    x = 202,393,310,056,473,600/211,005,264
  6. Step 6: Final answer
    x = 959,186,070.62

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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.