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Finding the Third Proportional to 461,084,350.50 and 995,788,143

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Solution

The third proportional to 461,084,350.50 and 995,788,143 is: 2,150,569,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,084,350.50 : 995,788,143 = 995,788,143 : x
  2. Step 2: Convert to fraction form
    461,084,350.50/995,788,143 = 995,788,143/x
  3. Step 3: Cross multiply
    461,084,350.50x = 995,788,143 × 995,788,143
  4. Step 4: Simplify right side
    461,084,350.50x = 991,594,025,739,388,416
  5. Step 5: Solve for x
    x = 991,594,025,739,388,416/461,084,350.50
  6. Step 6: Final answer
    x = 2,150,569,683.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.