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Finding the Third Proportional to 163,306,803,672 and 256,179,955,824

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Solution

The third proportional to 163,306,803,672 and 256,179,955,824 is: 401,870,395,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,306,803,672 : 256,179,955,824 = 256,179,955,824 : x
  2. Step 2: Convert to fraction form
    163,306,803,672/256,179,955,824 = 256,179,955,824/x
  3. Step 3: Cross multiply
    163,306,803,672x = 256,179,955,824 × 256,179,955,824
  4. Step 4: Simplify right side
    163,306,803,672x = 65,628,169,765,986,588,688,384
  5. Step 5: Solve for x
    x = 65,628,169,765,986,588,688,384/163,306,803,672
  6. Step 6: Final answer
    x = 401,870,395,417.21

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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.