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Finding the Third Proportional to 197,666,392,015.50 and 278,357,837,620.50

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Solution

The third proportional to 197,666,392,015.50 and 278,357,837,620.50 is: 391,989,174,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666,392,015.50 : 278,357,837,620.50 = 278,357,837,620.50 : x
  2. Step 2: Convert to fraction form
    197,666,392,015.50/278,357,837,620.50 = 278,357,837,620.50/x
  3. Step 3: Cross multiply
    197,666,392,015.50x = 278,357,837,620.50 × 278,357,837,620.50
  4. Step 4: Simplify right side
    197,666,392,015.50x = 77,483,085,764,760,640,159,744
  5. Step 5: Solve for x
    x = 77,483,085,764,760,640,159,744/197,666,392,015.50
  6. Step 6: Final answer
    x = 391,989,174,157.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.