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Finding the Third Proportional to 254,694,744.50 and 403,947,109.50

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Solution

The third proportional to 254,694,744.50 and 403,947,109.50 is: 640,662,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694,744.50 : 403,947,109.50 = 403,947,109.50 : x
  2. Step 2: Convert to fraction form
    254,694,744.50/403,947,109.50 = 403,947,109.50/x
  3. Step 3: Cross multiply
    254,694,744.50x = 403,947,109.50 × 403,947,109.50
  4. Step 4: Simplify right side
    254,694,744.50x = 163,173,267,273,404,992
  5. Step 5: Solve for x
    x = 163,173,267,273,404,992/254,694,744.50
  6. Step 6: Final answer
    x = 640,662,089.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.