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Finding the Third Proportional to 109,913,325,201 and 238,077,887,138.25

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Solution

The third proportional to 109,913,325,201 and 238,077,887,138.25 is: 515,688,887,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913,325,201 : 238,077,887,138.25 = 238,077,887,138.25 : x
  2. Step 2: Convert to fraction form
    109,913,325,201/238,077,887,138.25 = 238,077,887,138.25/x
  3. Step 3: Cross multiply
    109,913,325,201x = 238,077,887,138.25 × 238,077,887,138.25
  4. Step 4: Simplify right side
    109,913,325,201x = 56,681,080,344,213,308,047,360
  5. Step 5: Solve for x
    x = 56,681,080,344,213,308,047,360/109,913,325,201
  6. Step 6: Final answer
    x = 515,688,887,044.04

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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.