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Finding the Third Proportional to 96,093,906 and 207,304,356

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Solution

The third proportional to 96,093,906 and 207,304,356 is: 447,219,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,093,906 : 207,304,356 = 207,304,356 : x
  2. Step 2: Convert to fraction form
    96,093,906/207,304,356 = 207,304,356/x
  3. Step 3: Cross multiply
    96,093,906x = 207,304,356 × 207,304,356
  4. Step 4: Simplify right side
    96,093,906x = 42,975,096,016,574,736
  5. Step 5: Solve for x
    x = 42,975,096,016,574,736/96,093,906
  6. Step 6: Final answer
    x = 447,219,785.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.