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Finding the Third Proportional to 144,097,392 and 212,335,912

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Solution

The third proportional to 144,097,392 and 212,335,912 is: 312,889,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,097,392 : 212,335,912 = 212,335,912 : x
  2. Step 2: Convert to fraction form
    144,097,392/212,335,912 = 212,335,912/x
  3. Step 3: Cross multiply
    144,097,392x = 212,335,912 × 212,335,912
  4. Step 4: Simplify right side
    144,097,392x = 45,086,539,524,871,744
  5. Step 5: Solve for x
    x = 45,086,539,524,871,744/144,097,392
  6. Step 6: Final answer
    x = 312,889,351.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.