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Finding the Third Proportional to 101,290,414,512 and 215,681,203,956

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Solution

The third proportional to 101,290,414,512 and 215,681,203,956 is: 459,257,492,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290,414,512 : 215,681,203,956 = 215,681,203,956 : x
  2. Step 2: Convert to fraction form
    101,290,414,512/215,681,203,956 = 215,681,203,956/x
  3. Step 3: Cross multiply
    101,290,414,512x = 215,681,203,956 × 215,681,203,956
  4. Step 4: Simplify right side
    101,290,414,512x = 46,518,381,739,909,668,929,536
  5. Step 5: Solve for x
    x = 46,518,381,739,909,668,929,536/101,290,414,512
  6. Step 6: Final answer
    x = 459,257,492,073.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.