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Finding the Third Proportional to 159,287,270 and 347,528,234

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Solution

The third proportional to 159,287,270 and 347,528,234 is: 758,226,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,287,270 : 347,528,234 = 347,528,234 : x
  2. Step 2: Convert to fraction form
    159,287,270/347,528,234 = 347,528,234/x
  3. Step 3: Cross multiply
    159,287,270x = 347,528,234 × 347,528,234
  4. Step 4: Simplify right side
    159,287,270x = 120,775,873,427,158,752
  5. Step 5: Solve for x
    x = 120,775,873,427,158,752/159,287,270
  6. Step 6: Final answer
    x = 758,226,777.49

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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.