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Finding the Third Proportional to 359,416,232 and 513,615,142

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Solution

The third proportional to 359,416,232 and 513,615,142 is: 733,969,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,416,232 : 513,615,142 = 513,615,142 : x
  2. Step 2: Convert to fraction form
    359,416,232/513,615,142 = 513,615,142/x
  3. Step 3: Cross multiply
    359,416,232x = 513,615,142 × 513,615,142
  4. Step 4: Simplify right side
    359,416,232x = 263,800,514,091,680,160
  5. Step 5: Solve for x
    x = 263,800,514,091,680,160/359,416,232
  6. Step 6: Final answer
    x = 733,969,394.27

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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.