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Finding the Third Proportional to 201,869,640 and 302,467,356

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Solution

The third proportional to 201,869,640 and 302,467,356 is: 453,195,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869,640 : 302,467,356 = 302,467,356 : x
  2. Step 2: Convert to fraction form
    201,869,640/302,467,356 = 302,467,356/x
  3. Step 3: Cross multiply
    201,869,640x = 302,467,356 × 302,467,356
  4. Step 4: Simplify right side
    201,869,640x = 91,486,501,445,630,736
  5. Step 5: Solve for x
    x = 91,486,501,445,630,736/201,869,640
  6. Step 6: Final answer
    x = 453,195,940.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.