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Finding the Third Proportional to 80,856,903.38 and 175,880,767.50

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Solution

The third proportional to 80,856,903.38 and 175,880,767.50 is: 382,577,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856,903.38 : 175,880,767.50 = 175,880,767.50 : x
  2. Step 2: Convert to fraction form
    80,856,903.38/175,880,767.50 = 175,880,767.50/x
  3. Step 3: Cross multiply
    80,856,903.38x = 175,880,767.50 × 175,880,767.50
  4. Step 4: Simplify right side
    80,856,903.38x = 30,934,044,376,389,056
  5. Step 5: Solve for x
    x = 30,934,044,376,389,056/80,856,903.38
  6. Step 6: Final answer
    x = 382,577,653.67

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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.