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Finding the Third Proportional to 197,971,940.53 and 299,505,929.06

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Solution

The third proportional to 197,971,940.53 and 299,505,929.06 is: 453,113,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,971,940.53 : 299,505,929.06 = 299,505,929.06 : x
  2. Step 2: Convert to fraction form
    197,971,940.53/299,505,929.06 = 299,505,929.06/x
  3. Step 3: Cross multiply
    197,971,940.53x = 299,505,929.06 × 299,505,929.06
  4. Step 4: Simplify right side
    197,971,940.53x = 89,703,801,543,591,280
  5. Step 5: Solve for x
    x = 89,703,801,543,591,280/197,971,940.53
  6. Step 6: Final answer
    x = 453,113,715.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.