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Finding the Third Proportional to 86,601,297 and 188,447,914.50

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Solution

The third proportional to 86,601,297 and 188,447,914.50 is: 410,070,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,601,297 : 188,447,914.50 = 188,447,914.50 : x
  2. Step 2: Convert to fraction form
    86,601,297/188,447,914.50 = 188,447,914.50/x
  3. Step 3: Cross multiply
    86,601,297x = 188,447,914.50 × 188,447,914.50
  4. Step 4: Simplify right side
    86,601,297x = 35,512,616,479,399,312
  5. Step 5: Solve for x
    x = 35,512,616,479,399,312/86,601,297
  6. Step 6: Final answer
    x = 410,070,261.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.