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Finding the Third Proportional to 359,416,109.25 and 513,614,968.88

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Solution

The third proportional to 359,416,109.25 and 513,614,968.88 is: 733,969,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,416,109.25 : 513,614,968.88 = 513,614,968.88 : x
  2. Step 2: Convert to fraction form
    359,416,109.25/513,614,968.88 = 513,614,968.88/x
  3. Step 3: Cross multiply
    359,416,109.25x = 513,614,968.88 × 513,614,968.88
  4. Step 4: Simplify right side
    359,416,109.25x = 263,800,336,252,467,232
  5. Step 5: Solve for x
    x = 263,800,336,252,467,232/359,416,109.25
  6. Step 6: Final answer
    x = 733,969,150.14

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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.