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Finding the Third Proportional to 86,983,720,692 and 187,261,262,214

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Solution

The third proportional to 86,983,720,692 and 187,261,262,214 is: 403,141,875,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983,720,692 : 187,261,262,214 = 187,261,262,214 : x
  2. Step 2: Convert to fraction form
    86,983,720,692/187,261,262,214 = 187,261,262,214/x
  3. Step 3: Cross multiply
    86,983,720,692x = 187,261,262,214 × 187,261,262,214
  4. Step 4: Simplify right side
    86,983,720,692x = 35,066,780,325,980,464,480,256
  5. Step 5: Solve for x
    x = 35,066,780,325,980,464,480,256/86,983,720,692
  6. Step 6: Final answer
    x = 403,141,875,824.65

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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.