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Finding the Third Proportional to 231,106,851 and 359,002,084.50

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Solution

The third proportional to 231,106,851 and 359,002,084.50 is: 557,674,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,106,851 : 359,002,084.50 = 359,002,084.50 : x
  2. Step 2: Convert to fraction form
    231,106,851/359,002,084.50 = 359,002,084.50/x
  3. Step 3: Cross multiply
    231,106,851x = 359,002,084.50 × 359,002,084.50
  4. Step 4: Simplify right side
    231,106,851x = 128,882,496,675,345,136
  5. Step 5: Solve for x
    x = 128,882,496,675,345,136/231,106,851
  6. Step 6: Final answer
    x = 557,674,928.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.