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Finding the Third Proportional to 96,261,032 and 207,867,136

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Solution

The third proportional to 96,261,032 and 207,867,136 is: 448,870,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261,032 : 207,867,136 = 207,867,136 : x
  2. Step 2: Convert to fraction form
    96,261,032/207,867,136 = 207,867,136/x
  3. Step 3: Cross multiply
    96,261,032x = 207,867,136 × 207,867,136
  4. Step 4: Simplify right side
    96,261,032x = 43,208,746,228,842,496
  5. Step 5: Solve for x
    x = 43,208,746,228,842,496/96,261,032
  6. Step 6: Final answer
    x = 448,870,590.01

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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.