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Finding the Third Proportional to 204,763,224 and 289,733,683.50

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Solution

The third proportional to 204,763,224 and 289,733,683.50 is: 409,964,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,224 : 289,733,683.50 = 289,733,683.50 : x
  2. Step 2: Convert to fraction form
    204,763,224/289,733,683.50 = 289,733,683.50/x
  3. Step 3: Cross multiply
    204,763,224x = 289,733,683.50 × 289,733,683.50
  4. Step 4: Simplify right side
    204,763,224x = 83,945,607,354,478,176
  5. Step 5: Solve for x
    x = 83,945,607,354,478,176/204,763,224
  6. Step 6: Final answer
    x = 409,964,278.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.