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Finding the Third Proportional to 305,723,766,717 and 455,934,448,629.50

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Solution

The third proportional to 305,723,766,717 and 455,934,448,629.50 is: 679,947,861,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,717 : 455,934,448,629.50 = 455,934,448,629.50 : x
  2. Step 2: Convert to fraction form
    305,723,766,717/455,934,448,629.50 = 455,934,448,629.50/x
  3. Step 3: Cross multiply
    305,723,766,717x = 455,934,448,629.50 × 455,934,448,629.50
  4. Step 4: Simplify right side
    305,723,766,717x = 207,876,221,447,086,182,236,160
  5. Step 5: Solve for x
    x = 207,876,221,447,086,182,236,160/305,723,766,717
  6. Step 6: Final answer
    x = 679,947,861,690.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.