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Finding the Third Proportional to 134,776,096 and 192,598,159

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Solution

The third proportional to 134,776,096 and 192,598,159 is: 275,227,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,776,096 : 192,598,159 = 192,598,159 : x
  2. Step 2: Convert to fraction form
    134,776,096/192,598,159 = 192,598,159/x
  3. Step 3: Cross multiply
    134,776,096x = 192,598,159 × 192,598,159
  4. Step 4: Simplify right side
    134,776,096x = 37,094,050,850,189,280
  5. Step 5: Solve for x
    x = 37,094,050,850,189,280/134,776,096
  6. Step 6: Final answer
    x = 275,227,224.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.