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Finding the Third Proportional to 109,178,028 and 233,472,600

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Solution

The third proportional to 109,178,028 and 233,472,600 is: 499,271,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,178,028 : 233,472,600 = 233,472,600 : x
  2. Step 2: Convert to fraction form
    109,178,028/233,472,600 = 233,472,600/x
  3. Step 3: Cross multiply
    109,178,028x = 233,472,600 × 233,472,600
  4. Step 4: Simplify right side
    109,178,028x = 54,509,454,950,760,000
  5. Step 5: Solve for x
    x = 54,509,454,950,760,000/109,178,028
  6. Step 6: Final answer
    x = 499,271,290.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.