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Finding the Third Proportional to 82,976,522.50 and 119,876,427.50

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Solution

The third proportional to 82,976,522.50 and 119,876,427.50 is: 173,185,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976,522.50 : 119,876,427.50 = 119,876,427.50 : x
  2. Step 2: Convert to fraction form
    82,976,522.50/119,876,427.50 = 119,876,427.50/x
  3. Step 3: Cross multiply
    82,976,522.50x = 119,876,427.50 × 119,876,427.50
  4. Step 4: Simplify right side
    82,976,522.50x = 14,370,357,870,162,756
  5. Step 5: Solve for x
    x = 14,370,357,870,162,756/82,976,522.50
  6. Step 6: Final answer
    x = 173,185,829.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.