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Finding the Third Proportional to 165,965,136 and 243,566,856

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Solution

The third proportional to 165,965,136 and 243,566,856 is: 357,453,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,965,136 : 243,566,856 = 243,566,856 : x
  2. Step 2: Convert to fraction form
    165,965,136/243,566,856 = 243,566,856/x
  3. Step 3: Cross multiply
    165,965,136x = 243,566,856 × 243,566,856
  4. Step 4: Simplify right side
    165,965,136x = 59,324,813,341,724,736
  5. Step 5: Solve for x
    x = 59,324,813,341,724,736/165,965,136
  6. Step 6: Final answer
    x = 357,453,467.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.