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Finding the Third Proportional to 429,835,255.50 and 920,970,960

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Solution

The third proportional to 429,835,255.50 and 920,970,960 is: 1,973,285,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,835,255.50 : 920,970,960 = 920,970,960 : x
  2. Step 2: Convert to fraction form
    429,835,255.50/920,970,960 = 920,970,960/x
  3. Step 3: Cross multiply
    429,835,255.50x = 920,970,960 × 920,970,960
  4. Step 4: Simplify right side
    429,835,255.50x = 848,187,509,163,321,600
  5. Step 5: Solve for x
    x = 848,187,509,163,321,600/429,835,255.50
  6. Step 6: Final answer
    x = 1,973,285,109.38

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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.