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Finding the Third Proportional to 37,920,931.50 and 82,863,157.50

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Solution

The third proportional to 37,920,931.50 and 82,863,157.50 is: 181,068,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920,931.50 : 82,863,157.50 = 82,863,157.50 : x
  2. Step 2: Convert to fraction form
    37,920,931.50/82,863,157.50 = 82,863,157.50/x
  3. Step 3: Cross multiply
    37,920,931.50x = 82,863,157.50 × 82,863,157.50
  4. Step 4: Simplify right side
    37,920,931.50x = 6,866,302,870,869,806
  5. Step 5: Solve for x
    x = 6,866,302,870,869,806/37,920,931.50
  6. Step 6: Final answer
    x = 181,068,940.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.