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Finding the Third Proportional to 197,672,966 and 289,232,946

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Solution

The third proportional to 197,672,966 and 289,232,946 is: 423,202,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,672,966 : 289,232,946 = 289,232,946 : x
  2. Step 2: Convert to fraction form
    197,672,966/289,232,946 = 289,232,946/x
  3. Step 3: Cross multiply
    197,672,966x = 289,232,946 × 289,232,946
  4. Step 4: Simplify right side
    197,672,966x = 83,655,697,051,838,912
  5. Step 5: Solve for x
    x = 83,655,697,051,838,912/197,672,966
  6. Step 6: Final answer
    x = 423,202,518.51

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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.