Home / 197,666,392,012.32-278,357,837,616.26

Finding the Third Proportional to 197,666,392,012.32 and 278,357,837,616.26

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Solution

The third proportional to 197,666,392,012.32 and 278,357,837,616.26 is: 391,989,174,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666,392,012.32 : 278,357,837,616.26 = 278,357,837,616.26 : x
  2. Step 2: Convert to fraction form
    197,666,392,012.32/278,357,837,616.26 = 278,357,837,616.26/x
  3. Step 3: Cross multiply
    197,666,392,012.32x = 278,357,837,616.26 × 278,357,837,616.26
  4. Step 4: Simplify right side
    197,666,392,012.32x = 77,483,085,762,400,169,754,624
  5. Step 5: Solve for x
    x = 77,483,085,762,400,169,754,624/197,666,392,012.32
  6. Step 6: Final answer
    x = 391,989,174,151.42

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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.