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Finding the Third Proportional to 110,745,538.88 and 238,659,999.75

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Solution

The third proportional to 110,745,538.88 and 238,659,999.75 is: 514,319,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745,538.88 : 238,659,999.75 = 238,659,999.75 : x
  2. Step 2: Convert to fraction form
    110,745,538.88/238,659,999.75 = 238,659,999.75/x
  3. Step 3: Cross multiply
    110,745,538.88x = 238,659,999.75 × 238,659,999.75
  4. Step 4: Simplify right side
    110,745,538.88x = 56,958,595,480,670,000
  5. Step 5: Solve for x
    x = 56,958,595,480,670,000/110,745,538.88
  6. Step 6: Final answer
    x = 514,319,547.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.