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Finding the Third Proportional to 102,632,644.69 and 212,541,077.67

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Solution

The third proportional to 102,632,644.69 and 212,541,077.67 is: 440,149,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,632,644.69 : 212,541,077.67 = 212,541,077.67 : x
  2. Step 2: Convert to fraction form
    102,632,644.69/212,541,077.67 = 212,541,077.67/x
  3. Step 3: Cross multiply
    102,632,644.69x = 212,541,077.67 × 212,541,077.67
  4. Step 4: Simplify right side
    102,632,644.69x = 45,173,709,697,924,128
  5. Step 5: Solve for x
    x = 45,173,709,697,924,128/102,632,644.69
  6. Step 6: Final answer
    x = 440,149,523.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.