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Finding the Third Proportional to 142,392,595 and 213,968,034

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Solution

The third proportional to 142,392,595 and 213,968,034 is: 321,521,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392,595 : 213,968,034 = 213,968,034 : x
  2. Step 2: Convert to fraction form
    142,392,595/213,968,034 = 213,968,034/x
  3. Step 3: Cross multiply
    142,392,595x = 213,968,034 × 213,968,034
  4. Step 4: Simplify right side
    142,392,595x = 45,782,319,573,825,152
  5. Step 5: Solve for x
    x = 45,782,319,573,825,152/142,392,595
  6. Step 6: Final answer
    x = 321,521,772.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.