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Finding the Third Proportional to 309,439,932 and 468,146,232

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Solution

The third proportional to 309,439,932 and 468,146,232 is: 708,250,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,439,932 : 468,146,232 = 468,146,232 : x
  2. Step 2: Convert to fraction form
    309,439,932/468,146,232 = 468,146,232/x
  3. Step 3: Cross multiply
    309,439,932x = 468,146,232 × 468,146,232
  4. Step 4: Simplify right side
    309,439,932x = 219,160,894,535,797,824
  5. Step 5: Solve for x
    x = 219,160,894,535,797,824/309,439,932
  6. Step 6: Final answer
    x = 708,250,202.61

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