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Finding the Third Proportional to 101,290,414,500 and 215,681,203,944

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Solution

The third proportional to 101,290,414,500 and 215,681,203,944 is: 459,257,492,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290,414,500 : 215,681,203,944 = 215,681,203,944 : x
  2. Step 2: Convert to fraction form
    101,290,414,500/215,681,203,944 = 215,681,203,944/x
  3. Step 3: Cross multiply
    101,290,414,500x = 215,681,203,944 × 215,681,203,944
  4. Step 4: Simplify right side
    101,290,414,500x = 46,518,381,734,733,318,979,584
  5. Step 5: Solve for x
    x = 46,518,381,734,733,318,979,584/101,290,414,500
  6. Step 6: Final answer
    x = 459,257,492,077.23

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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.