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Finding the Third Proportional to 382,196,347,195.50 and 572,735,444,751

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Solution

The third proportional to 382,196,347,195.50 and 572,735,444,751 is: 858,265,370,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,196,347,195.50 : 572,735,444,751 = 572,735,444,751 : x
  2. Step 2: Convert to fraction form
    382,196,347,195.50/572,735,444,751 = 572,735,444,751/x
  3. Step 3: Cross multiply
    382,196,347,195.50x = 572,735,444,751 × 572,735,444,751
  4. Step 4: Simplify right side
    382,196,347,195.50x = 328,025,889,674,125,801,160,704
  5. Step 5: Solve for x
    x = 328,025,889,674,125,801,160,704/382,196,347,195.50
  6. Step 6: Final answer
    x = 858,265,370,878.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.