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Finding the Third Proportional to 86,346,881 and 140,981,759.25

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Solution

The third proportional to 86,346,881 and 140,981,759.25 is: 230,186,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346,881 : 140,981,759.25 = 140,981,759.25 : x
  2. Step 2: Convert to fraction form
    86,346,881/140,981,759.25 = 140,981,759.25/x
  3. Step 3: Cross multiply
    86,346,881x = 140,981,759.25 × 140,981,759.25
  4. Step 4: Simplify right side
    86,346,881x = 19,875,856,441,224,960
  5. Step 5: Solve for x
    x = 19,875,856,441,224,960/86,346,881
  6. Step 6: Final answer
    x = 230,186,153.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.