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Finding the Third Proportional to 314,225,608.50 and 682,841,086.88

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Solution

The third proportional to 314,225,608.50 and 682,841,086.88 is: 1,483,876,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,225,608.50 : 682,841,086.88 = 682,841,086.88 : x
  2. Step 2: Convert to fraction form
    314,225,608.50/682,841,086.88 = 682,841,086.88/x
  3. Step 3: Cross multiply
    314,225,608.50x = 682,841,086.88 × 682,841,086.88
  4. Step 4: Simplify right side
    314,225,608.50x = 466,271,949,924,631,296
  5. Step 5: Solve for x
    x = 466,271,949,924,631,296/314,225,608.50
  6. Step 6: Final answer
    x = 1,483,876,352.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.