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Finding the Third Proportional to 165,490,171,606 and 236,651,227,219

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Solution

The third proportional to 165,490,171,606 and 236,651,227,219 is: 338,411,657,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,490,171,606 : 236,651,227,219 = 236,651,227,219 : x
  2. Step 2: Convert to fraction form
    165,490,171,606/236,651,227,219 = 236,651,227,219/x
  3. Step 3: Cross multiply
    165,490,171,606x = 236,651,227,219 × 236,651,227,219
  4. Step 4: Simplify right side
    165,490,171,606x = 56,003,803,344,258,769,879,040
  5. Step 5: Solve for x
    x = 56,003,803,344,258,769,879,040/165,490,171,606
  6. Step 6: Final answer
    x = 338,411,657,929.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.