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Finding the Third Proportional to 36,926,850.50 and 85,478,976.88

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Solution

The third proportional to 36,926,850.50 and 85,478,976.88 is: 197,868,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926,850.50 : 85,478,976.88 = 85,478,976.88 : x
  2. Step 2: Convert to fraction form
    36,926,850.50/85,478,976.88 = 85,478,976.88/x
  3. Step 3: Cross multiply
    36,926,850.50x = 85,478,976.88 × 85,478,976.88
  4. Step 4: Simplify right side
    36,926,850.50x = 7,306,655,487,596,785
  5. Step 5: Solve for x
    x = 7,306,655,487,596,785/36,926,850.50
  6. Step 6: Final answer
    x = 197,868,363.77

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.