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Finding the Third Proportional to 169,210,412,820 and 255,991,896,990

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Solution

The third proportional to 169,210,412,820 and 255,991,896,990 is: 387,280,252,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210,412,820 : 255,991,896,990 = 255,991,896,990 : x
  2. Step 2: Convert to fraction form
    169,210,412,820/255,991,896,990 = 255,991,896,990/x
  3. Step 3: Cross multiply
    169,210,412,820x = 255,991,896,990 × 255,991,896,990
  4. Step 4: Simplify right side
    169,210,412,820x = 65,531,851,324,538,769,899,520
  5. Step 5: Solve for x
    x = 65,531,851,324,538,769,899,520/169,210,412,820
  6. Step 6: Final answer
    x = 387,280,252,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.