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Finding the Third Proportional to 42,089,025 and 90,443,800.50

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Solution

The third proportional to 42,089,025 and 90,443,800.50 is: 194,351,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,089,025 : 90,443,800.50 = 90,443,800.50 : x
  2. Step 2: Convert to fraction form
    42,089,025/90,443,800.50 = 90,443,800.50/x
  3. Step 3: Cross multiply
    42,089,025x = 90,443,800.50 × 90,443,800.50
  4. Step 4: Simplify right side
    42,089,025x = 8,180,081,048,883,800
  5. Step 5: Solve for x
    x = 8,180,081,048,883,800/42,089,025
  6. Step 6: Final answer
    x = 194,351,877.93

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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.