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Finding the Third Proportional to 197,672,942 and 289,232,922

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Solution

The third proportional to 197,672,942 and 289,232,922 is: 423,202,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,672,942 : 289,232,922 = 289,232,922 : x
  2. Step 2: Convert to fraction form
    197,672,942/289,232,922 = 289,232,922/x
  3. Step 3: Cross multiply
    197,672,942x = 289,232,922 × 289,232,922
  4. Step 4: Simplify right side
    197,672,942x = 83,655,683,168,658,080
  5. Step 5: Solve for x
    x = 83,655,683,168,658,080/197,672,942
  6. Step 6: Final answer
    x = 423,202,499.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.