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Finding the Third Proportional to 365,207,191.50 and 743,168,926.50

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Solution

The third proportional to 365,207,191.50 and 743,168,926.50 is: 1,512,292,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,207,191.50 : 743,168,926.50 = 743,168,926.50 : x
  2. Step 2: Convert to fraction form
    365,207,191.50/743,168,926.50 = 743,168,926.50/x
  3. Step 3: Cross multiply
    365,207,191.50x = 743,168,926.50 × 743,168,926.50
  4. Step 4: Simplify right side
    365,207,191.50x = 552,300,053,315,162,432
  5. Step 5: Solve for x
    x = 552,300,053,315,162,432/365,207,191.50
  6. Step 6: Final answer
    x = 1,512,292,381.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.