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Finding the Third Proportional to 174,343,555,256 and 249,311,580,912

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Solution

The third proportional to 174,343,555,256 and 249,311,580,912 is: 356,515,985,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,343,555,256 : 249,311,580,912 = 249,311,580,912 : x
  2. Step 2: Convert to fraction form
    174,343,555,256/249,311,580,912 = 249,311,580,912/x
  3. Step 3: Cross multiply
    174,343,555,256x = 249,311,580,912 × 249,311,580,912
  4. Step 4: Simplify right side
    174,343,555,256x = 62,156,264,376,840,725,987,328
  5. Step 5: Solve for x
    x = 62,156,264,376,840,725,987,328/174,343,555,256
  6. Step 6: Final answer
    x = 356,515,985,265.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.