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Finding the Third Proportional to 138,922,234.31 and 302,057,326.13

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Solution

The third proportional to 138,922,234.31 and 302,057,326.13 is: 656,760,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,922,234.31 : 302,057,326.13 = 302,057,326.13 : x
  2. Step 2: Convert to fraction form
    138,922,234.31/302,057,326.13 = 302,057,326.13/x
  3. Step 3: Cross multiply
    138,922,234.31x = 302,057,326.13 × 302,057,326.13
  4. Step 4: Simplify right side
    138,922,234.31x = 91,238,628,265,784,608
  5. Step 5: Solve for x
    x = 91,238,628,265,784,608/138,922,234.31
  6. Step 6: Final answer
    x = 656,760,443.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.