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Finding the Third Proportional to 135,931,255,930 and 213,236,030,319

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Solution

The third proportional to 135,931,255,930 and 213,236,030,319 is: 334,504,410,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931,255,930 : 213,236,030,319 = 213,236,030,319 : x
  2. Step 2: Convert to fraction form
    135,931,255,930/213,236,030,319 = 213,236,030,319/x
  3. Step 3: Cross multiply
    135,931,255,930x = 213,236,030,319 × 213,236,030,319
  4. Step 4: Simplify right side
    135,931,255,930x = 45,469,604,626,205,490,806,784
  5. Step 5: Solve for x
    x = 45,469,604,626,205,490,806,784/135,931,255,930
  6. Step 6: Final answer
    x = 334,504,410,447.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.