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Finding the Third Proportional to 145,108,182 and 221,882,548

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Solution

The third proportional to 145,108,182 and 221,882,548 is: 339,276,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108,182 : 221,882,548 = 221,882,548 : x
  2. Step 2: Convert to fraction form
    145,108,182/221,882,548 = 221,882,548/x
  3. Step 3: Cross multiply
    145,108,182x = 221,882,548 × 221,882,548
  4. Step 4: Simplify right side
    145,108,182x = 49,231,865,106,972,304
  5. Step 5: Solve for x
    x = 49,231,865,106,972,304/145,108,182
  6. Step 6: Final answer
    x = 339,276,975.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.