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Finding the Third Proportional to 191,347,085,740 and 409,987,220,292

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Solution

The third proportional to 191,347,085,740 and 409,987,220,292 is: 878,453,518,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,347,085,740 : 409,987,220,292 = 409,987,220,292 : x
  2. Step 2: Convert to fraction form
    191,347,085,740/409,987,220,292 = 409,987,220,292/x
  3. Step 3: Cross multiply
    191,347,085,740x = 409,987,220,292 × 409,987,220,292
  4. Step 4: Simplify right side
    191,347,085,740x = 168,089,520,802,760,929,312,768
  5. Step 5: Solve for x
    x = 168,089,520,802,760,929,312,768/191,347,085,740
  6. Step 6: Final answer
    x = 878,453,518,916.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.