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Finding the Third Proportional to 159,287,269 and 347,528,232

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Solution

The third proportional to 159,287,269 and 347,528,232 is: 758,226,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,287,269 : 347,528,232 = 347,528,232 : x
  2. Step 2: Convert to fraction form
    159,287,269/347,528,232 = 347,528,232/x
  3. Step 3: Cross multiply
    159,287,269x = 347,528,232 × 347,528,232
  4. Step 4: Simplify right side
    159,287,269x = 120,775,872,037,045,824
  5. Step 5: Solve for x
    x = 120,775,872,037,045,824/159,287,269
  6. Step 6: Final answer
    x = 758,226,773.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.