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Finding the Third Proportional to 86,822,335,889 and 188,068,512,046

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Solution

The third proportional to 86,822,335,889 and 188,068,512,046 is: 407,380,944,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,822,335,889 : 188,068,512,046 = 188,068,512,046 : x
  2. Step 2: Convert to fraction form
    86,822,335,889/188,068,512,046 = 188,068,512,046/x
  3. Step 3: Cross multiply
    86,822,335,889x = 188,068,512,046 × 188,068,512,046
  4. Step 4: Simplify right side
    86,822,335,889x = 35,369,765,223,196,449,046,528
  5. Step 5: Solve for x
    x = 35,369,765,223,196,449,046,528/86,822,335,889
  6. Step 6: Final answer
    x = 407,380,944,788.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.