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Finding the Third Proportional to 176,040,548.86 and 382,321,566.84

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Solution

The third proportional to 176,040,548.86 and 382,321,566.84 is: 830,318,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,040,548.86 : 382,321,566.84 = 382,321,566.84 : x
  2. Step 2: Convert to fraction form
    176,040,548.86/382,321,566.84 = 382,321,566.84/x
  3. Step 3: Cross multiply
    176,040,548.86x = 382,321,566.84 × 382,321,566.84
  4. Step 4: Simplify right side
    176,040,548.86x = 146,169,780,473,860,000
  5. Step 5: Solve for x
    x = 146,169,780,473,860,000/176,040,548.86
  6. Step 6: Final answer
    x = 830,318,818.14

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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.