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Finding the Third Proportional to 258,087,008.63 and 394,536,605.25

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Solution

The third proportional to 258,087,008.63 and 394,536,605.25 is: 603,126,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,087,008.63 : 394,536,605.25 = 394,536,605.25 : x
  2. Step 2: Convert to fraction form
    258,087,008.63/394,536,605.25 = 394,536,605.25/x
  3. Step 3: Cross multiply
    258,087,008.63x = 394,536,605.25 × 394,536,605.25
  4. Step 4: Simplify right side
    258,087,008.63x = 155,659,132,882,194,336
  5. Step 5: Solve for x
    x = 155,659,132,882,194,336/258,087,008.63
  6. Step 6: Final answer
    x = 603,126,572.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.