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Finding the Third Proportional to 241,861,099.50 and 515,401,957.13

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Solution

The third proportional to 241,861,099.50 and 515,401,957.13 is: 1,098,312,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,861,099.50 : 515,401,957.13 = 515,401,957.13 : x
  2. Step 2: Convert to fraction form
    241,861,099.50/515,401,957.13 = 515,401,957.13/x
  3. Step 3: Cross multiply
    241,861,099.50x = 515,401,957.13 × 515,401,957.13
  4. Step 4: Simplify right side
    241,861,099.50x = 265,639,177,408,280,352
  5. Step 5: Solve for x
    x = 265,639,177,408,280,352/241,861,099.50
  6. Step 6: Final answer
    x = 1,098,312,948.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.