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Finding the Third Proportional to 110,527,990,470 and 169,784,515,212.75

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Solution

The third proportional to 110,527,990,470 and 169,784,515,212.75 is: 260,809,786,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,527,990,470 : 169,784,515,212.75 = 169,784,515,212.75 : x
  2. Step 2: Convert to fraction form
    110,527,990,470/169,784,515,212.75 = 169,784,515,212.75/x
  3. Step 3: Cross multiply
    110,527,990,470x = 169,784,515,212.75 × 169,784,515,212.75
  4. Step 4: Simplify right side
    110,527,990,470x = 28,826,781,606,028,534,349,824
  5. Step 5: Solve for x
    x = 28,826,781,606,028,534,349,824/110,527,990,470
  6. Step 6: Final answer
    x = 260,809,786,583.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.