Home / 100,678,867,371.77-218,115,148,911.82

Finding the Third Proportional to 100,678,867,371.77 and 218,115,148,911.82

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Solution

The third proportional to 100,678,867,371.77 and 218,115,148,911.82 is: 472,534,300,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678,867,371.77 : 218,115,148,911.82 = 218,115,148,911.82 : x
  2. Step 2: Convert to fraction form
    100,678,867,371.77/218,115,148,911.82 = 218,115,148,911.82/x
  3. Step 3: Cross multiply
    100,678,867,371.77x = 218,115,148,911.82 × 218,115,148,911.82
  4. Step 4: Simplify right side
    100,678,867,371.77x = 47,574,218,184,825,417,760,768
  5. Step 5: Solve for x
    x = 47,574,218,184,825,417,760,768/100,678,867,371.77
  6. Step 6: Final answer
    x = 472,534,300,660.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.