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Finding the Third Proportional to 151,049,151 and 330,178,234.50

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Solution

The third proportional to 151,049,151 and 330,178,234.50 is: 721,736,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,049,151 : 330,178,234.50 = 330,178,234.50 : x
  2. Step 2: Convert to fraction form
    151,049,151/330,178,234.50 = 330,178,234.50/x
  3. Step 3: Cross multiply
    151,049,151x = 330,178,234.50 × 330,178,234.50
  4. Step 4: Simplify right side
    151,049,151x = 109,017,666,537,536,992
  5. Step 5: Solve for x
    x = 109,017,666,537,536,992/151,049,151
  6. Step 6: Final answer
    x = 721,736,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.