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Finding the Third Proportional to 110,066,013 and 239,908,243.50

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Solution

The third proportional to 110,066,013 and 239,908,243.50 is: 522,922,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,066,013 : 239,908,243.50 = 239,908,243.50 : x
  2. Step 2: Convert to fraction form
    110,066,013/239,908,243.50 = 239,908,243.50/x
  3. Step 3: Cross multiply
    110,066,013x = 239,908,243.50 × 239,908,243.50
  4. Step 4: Simplify right side
    110,066,013x = 57,555,965,299,255,296
  5. Step 5: Solve for x
    x = 57,555,965,299,255,296/110,066,013
  6. Step 6: Final answer
    x = 522,922,233.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.