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Finding the Third Proportional to 169,210,412,822 and 255,991,896,993

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Solution

The third proportional to 169,210,412,822 and 255,991,896,993 is: 387,280,252,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210,412,822 : 255,991,896,993 = 255,991,896,993 : x
  2. Step 2: Convert to fraction form
    169,210,412,822/255,991,896,993 = 255,991,896,993/x
  3. Step 3: Cross multiply
    169,210,412,822x = 255,991,896,993 × 255,991,896,993
  4. Step 4: Simplify right side
    169,210,412,822x = 65,531,851,326,074,724,024,320
  5. Step 5: Solve for x
    x = 65,531,851,326,074,724,024,320/169,210,412,822
  6. Step 6: Final answer
    x = 387,280,252,043.42

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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.