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Finding the Third Proportional to 263,555,196,136 and 371,143,792,404

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Solution

The third proportional to 263,555,196,136 and 371,143,792,404 is: 522,652,243,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,555,196,136 : 371,143,792,404 = 371,143,792,404 : x
  2. Step 2: Convert to fraction form
    263,555,196,136/371,143,792,404 = 371,143,792,404/x
  3. Step 3: Cross multiply
    263,555,196,136x = 371,143,792,404 × 371,143,792,404
  4. Step 4: Simplify right side
    263,555,196,136x = 137,747,714,640,023,442,685,952
  5. Step 5: Solve for x
    x = 137,747,714,640,023,442,685,952/263,555,196,136
  6. Step 6: Final answer
    x = 522,652,243,854.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.