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Finding the Third Proportional to 86,346,883.41 and 140,981,763.09

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Solution

The third proportional to 86,346,883.41 and 140,981,763.09 is: 230,186,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346,883.41 : 140,981,763.09 = 140,981,763.09 : x
  2. Step 2: Convert to fraction form
    86,346,883.41/140,981,763.09 = 140,981,763.09/x
  3. Step 3: Cross multiply
    86,346,883.41x = 140,981,763.09 × 140,981,763.09
  4. Step 4: Simplify right side
    86,346,883.41x = 19,875,857,525,022,248
  5. Step 5: Solve for x
    x = 19,875,857,525,022,248/86,346,883.41
  6. Step 6: Final answer
    x = 230,186,160.07

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