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Finding the Third Proportional to 359,416,109.25 and 513,614,968.50

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Solution

The third proportional to 359,416,109.25 and 513,614,968.50 is: 733,969,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,416,109.25 : 513,614,968.50 = 513,614,968.50 : x
  2. Step 2: Convert to fraction form
    359,416,109.25/513,614,968.50 = 513,614,968.50/x
  3. Step 3: Cross multiply
    359,416,109.25x = 513,614,968.50 × 513,614,968.50
  4. Step 4: Simplify right side
    359,416,109.25x = 263,800,335,867,256,000
  5. Step 5: Solve for x
    x = 263,800,335,867,256,000/359,416,109.25
  6. Step 6: Final answer
    x = 733,969,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.