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Finding the Third Proportional to 86,983,720,690 and 187,261,262,212

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Solution

The third proportional to 86,983,720,690 and 187,261,262,212 is: 403,141,875,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983,720,690 : 187,261,262,212 = 187,261,262,212 : x
  2. Step 2: Convert to fraction form
    86,983,720,690/187,261,262,212 = 187,261,262,212/x
  3. Step 3: Cross multiply
    86,983,720,690x = 187,261,262,212 × 187,261,262,212
  4. Step 4: Simplify right side
    86,983,720,690x = 35,066,780,325,231,420,506,112
  5. Step 5: Solve for x
    x = 35,066,780,325,231,420,506,112/86,983,720,690
  6. Step 6: Final answer
    x = 403,141,875,825.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.