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Finding the Third Proportional to 96,261,038 and 207,867,148

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Solution

The third proportional to 96,261,038 and 207,867,148 is: 448,870,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261,038 : 207,867,148 = 207,867,148 : x
  2. Step 2: Convert to fraction form
    96,261,038/207,867,148 = 207,867,148/x
  3. Step 3: Cross multiply
    96,261,038x = 207,867,148 × 207,867,148
  4. Step 4: Simplify right side
    96,261,038x = 43,208,751,217,653,904
  5. Step 5: Solve for x
    x = 43,208,751,217,653,904/96,261,038
  6. Step 6: Final answer
    x = 448,870,613.86

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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.