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Finding the Third Proportional to 159,780,342 and 344,243,238

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Solution

The third proportional to 159,780,342 and 344,243,238 is: 741,664,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,780,342 : 344,243,238 = 344,243,238 : x
  2. Step 2: Convert to fraction form
    159,780,342/344,243,238 = 344,243,238/x
  3. Step 3: Cross multiply
    159,780,342x = 344,243,238 × 344,243,238
  4. Step 4: Simplify right side
    159,780,342x = 118,503,406,908,724,640
  5. Step 5: Solve for x
    x = 118,503,406,908,724,640/159,780,342
  6. Step 6: Final answer
    x = 741,664,496.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.