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Finding the Third Proportional to 42,723,494 and 91,816,900

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Solution

The third proportional to 42,723,494 and 91,816,900 is: 197,323,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723,494 : 91,816,900 = 91,816,900 : x
  2. Step 2: Convert to fraction form
    42,723,494/91,816,900 = 91,816,900/x
  3. Step 3: Cross multiply
    42,723,494x = 91,816,900 × 91,816,900
  4. Step 4: Simplify right side
    42,723,494x = 8,430,343,125,610,000
  5. Step 5: Solve for x
    x = 8,430,343,125,610,000/42,723,494
  6. Step 6: Final answer
    x = 197,323,353.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.