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Finding the Third Proportional to 211,602,957.19 and 458,517,694.78

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Solution

The third proportional to 211,602,957.19 and 458,517,694.78 is: 993,551,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602,957.19 : 458,517,694.78 = 458,517,694.78 : x
  2. Step 2: Convert to fraction form
    211,602,957.19/458,517,694.78 = 458,517,694.78/x
  3. Step 3: Cross multiply
    211,602,957.19x = 458,517,694.78 × 458,517,694.78
  4. Step 4: Simplify right side
    211,602,957.19x = 210,238,476,427,511,520
  5. Step 5: Solve for x
    x = 210,238,476,427,511,520/211,602,957.19
  6. Step 6: Final answer
    x = 993,551,693.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.