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Finding the Third Proportional to 163,306,803,676 and 256,179,955,830

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Solution

The third proportional to 163,306,803,676 and 256,179,955,830 is: 401,870,395,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,306,803,676 : 256,179,955,830 = 256,179,955,830 : x
  2. Step 2: Convert to fraction form
    163,306,803,676/256,179,955,830 = 256,179,955,830/x
  3. Step 3: Cross multiply
    163,306,803,676x = 256,179,955,830 × 256,179,955,830
  4. Step 4: Simplify right side
    163,306,803,676x = 65,628,169,769,060,753,473,536
  5. Step 5: Solve for x
    x = 65,628,169,769,060,753,473,536/163,306,803,676
  6. Step 6: Final answer
    x = 401,870,395,426.19

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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.