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Finding the Third Proportional to 104,281,146 and 142,013,121.75

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Solution

The third proportional to 104,281,146 and 142,013,121.75 is: 193,397,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,281,146 : 142,013,121.75 = 142,013,121.75 : x
  2. Step 2: Convert to fraction form
    104,281,146/142,013,121.75 = 142,013,121.75/x
  3. Step 3: Cross multiply
    104,281,146x = 142,013,121.75 × 142,013,121.75
  4. Step 4: Simplify right side
    104,281,146x = 20,167,726,749,180,324
  5. Step 5: Solve for x
    x = 20,167,726,749,180,324/104,281,146
  6. Step 6: Final answer
    x = 193,397,632.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.