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Finding the Third Proportional to 164,436,906,998 and 261,651,445,173

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Solution

The third proportional to 164,436,906,998 and 261,651,445,173 is: 416,338,886,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,436,906,998 : 261,651,445,173 = 261,651,445,173 : x
  2. Step 2: Convert to fraction form
    164,436,906,998/261,651,445,173 = 261,651,445,173/x
  3. Step 3: Cross multiply
    164,436,906,998x = 261,651,445,173 × 261,651,445,173
  4. Step 4: Simplify right side
    164,436,906,998x = 68,461,478,761,119,422,087,168
  5. Step 5: Solve for x
    x = 68,461,478,761,119,422,087,168/164,436,906,998
  6. Step 6: Final answer
    x = 416,338,886,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.