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Finding the Third Proportional to 229,721,327 and 347,317,152.50

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Solution

The third proportional to 229,721,327 and 347,317,152.50 is: 525,111,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,721,327 : 347,317,152.50 = 347,317,152.50 : x
  2. Step 2: Convert to fraction form
    229,721,327/347,317,152.50 = 347,317,152.50/x
  3. Step 3: Cross multiply
    229,721,327x = 347,317,152.50 × 347,317,152.50
  4. Step 4: Simplify right side
    229,721,327x = 120,629,204,420,708,256
  5. Step 5: Solve for x
    x = 120,629,204,420,708,256/229,721,327
  6. Step 6: Final answer
    x = 525,111,037.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.