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Finding the Third Proportional to 109,884,518,805 and 238,024,210,340.25

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Solution

The third proportional to 109,884,518,805 and 238,024,210,340.25 is: 515,591,507,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884,518,805 : 238,024,210,340.25 = 238,024,210,340.25 : x
  2. Step 2: Convert to fraction form
    109,884,518,805/238,024,210,340.25 = 238,024,210,340.25/x
  3. Step 3: Cross multiply
    109,884,518,805x = 238,024,210,340.25 × 238,024,210,340.25
  4. Step 4: Simplify right side
    109,884,518,805x = 56,655,524,708,099,578,396,672
  5. Step 5: Solve for x
    x = 56,655,524,708,099,578,396,672/109,884,518,805
  6. Step 6: Final answer
    x = 515,591,507,559.31

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