Home / 109,884,518,806.69-238,024,210,342.12

Finding the Third Proportional to 109,884,518,806.69 and 238,024,210,342.12

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Solution

The third proportional to 109,884,518,806.69 and 238,024,210,342.12 is: 515,591,507,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884,518,806.69 : 238,024,210,342.12 = 238,024,210,342.12 : x
  2. Step 2: Convert to fraction form
    109,884,518,806.69/238,024,210,342.12 = 238,024,210,342.12/x
  3. Step 3: Cross multiply
    109,884,518,806.69x = 238,024,210,342.12 × 238,024,210,342.12
  4. Step 4: Simplify right side
    109,884,518,806.69x = 56,655,524,708,989,785,866,240
  5. Step 5: Solve for x
    x = 56,655,524,708,989,785,866,240/109,884,518,806.69
  6. Step 6: Final answer
    x = 515,591,507,559.48

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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.