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Finding the Third Proportional to 129,984,525,482.25 and 283,045,156,881

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Solution

The third proportional to 129,984,525,482.25 and 283,045,156,881 is: 616,339,218,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,984,525,482.25 : 283,045,156,881 = 283,045,156,881 : x
  2. Step 2: Convert to fraction form
    129,984,525,482.25/283,045,156,881 = 283,045,156,881/x
  3. Step 3: Cross multiply
    129,984,525,482.25x = 283,045,156,881 × 283,045,156,881
  4. Step 4: Simplify right side
    129,984,525,482.25x = 80,114,560,833,789,907,435,520
  5. Step 5: Solve for x
    x = 80,114,560,833,789,907,435,520/129,984,525,482.25
  6. Step 6: Final answer
    x = 616,339,218,353.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.