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Finding the Third Proportional to 169,210,412,818.04 and 255,991,896,987.06

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Solution

The third proportional to 169,210,412,818.04 and 255,991,896,987.06 is: 387,280,252,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210,412,818.04 : 255,991,896,987.06 = 255,991,896,987.06 : x
  2. Step 2: Convert to fraction form
    169,210,412,818.04/255,991,896,987.06 = 255,991,896,987.06/x
  3. Step 3: Cross multiply
    169,210,412,818.04x = 255,991,896,987.06 × 255,991,896,987.06
  4. Step 4: Simplify right side
    169,210,412,818.04x = 65,531,851,323,033,534,857,216
  5. Step 5: Solve for x
    x = 65,531,851,323,033,534,857,216/169,210,412,818.04
  6. Step 6: Final answer
    x = 387,280,252,034.51

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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.