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Finding the Third Proportional to 134,043,172 and 289,257,961

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Solution

The third proportional to 134,043,172 and 289,257,961 is: 624,203,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,043,172 : 289,257,961 = 289,257,961 : x
  2. Step 2: Convert to fraction form
    134,043,172/289,257,961 = 289,257,961/x
  3. Step 3: Cross multiply
    134,043,172x = 289,257,961 × 289,257,961
  4. Step 4: Simplify right side
    134,043,172x = 83,670,168,001,877,520
  5. Step 5: Solve for x
    x = 83,670,168,001,877,520/134,043,172
  6. Step 6: Final answer
    x = 624,203,133.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.