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Finding the Third Proportional to 204,323,136 and 453,995,904

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Solution

The third proportional to 204,323,136 and 453,995,904 is: 1,008,756,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323,136 : 453,995,904 = 453,995,904 : x
  2. Step 2: Convert to fraction form
    204,323,136/453,995,904 = 453,995,904/x
  3. Step 3: Cross multiply
    204,323,136x = 453,995,904 × 453,995,904
  4. Step 4: Simplify right side
    204,323,136x = 206,112,280,848,777,216
  5. Step 5: Solve for x
    x = 206,112,280,848,777,216/204,323,136
  6. Step 6: Final answer
    x = 1,008,756,447.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.