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Finding the Third Proportional to 142,219,275,122 and 205,482,292,975

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Solution

The third proportional to 142,219,275,122 and 205,482,292,975 is: 296,886,429,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,219,275,122 : 205,482,292,975 = 205,482,292,975 : x
  2. Step 2: Convert to fraction form
    142,219,275,122/205,482,292,975 = 205,482,292,975/x
  3. Step 3: Cross multiply
    142,219,275,122x = 205,482,292,975 × 205,482,292,975
  4. Step 4: Simplify right side
    142,219,275,122x = 42,222,972,726,263,733,551,104
  5. Step 5: Solve for x
    x = 42,222,972,726,263,733,551,104/142,219,275,122
  6. Step 6: Final answer
    x = 296,886,429,002.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.