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Finding the Third Proportional to 239,610,732 and 342,409,968

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Solution

The third proportional to 239,610,732 and 342,409,968 is: 489,312,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,610,732 : 342,409,968 = 342,409,968 : x
  2. Step 2: Convert to fraction form
    239,610,732/342,409,968 = 342,409,968/x
  3. Step 3: Cross multiply
    239,610,732x = 342,409,968 × 342,409,968
  4. Step 4: Simplify right side
    239,610,732x = 117,244,586,185,761,024
  5. Step 5: Solve for x
    x = 117,244,586,185,761,024/239,610,732
  6. Step 6: Final answer
    x = 489,312,749.92

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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.