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Finding the Third Proportional to 231,162,105 and 348,702,715

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Solution

The third proportional to 231,162,105 and 348,702,715 is: 526,010,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,162,105 : 348,702,715 = 348,702,715 : x
  2. Step 2: Convert to fraction form
    231,162,105/348,702,715 = 348,702,715/x
  3. Step 3: Cross multiply
    231,162,105x = 348,702,715 × 348,702,715
  4. Step 4: Simplify right side
    231,162,105x = 121,593,583,448,371,232
  5. Step 5: Solve for x
    x = 121,593,583,448,371,232/231,162,105
  6. Step 6: Final answer
    x = 526,010,019.89

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Why These Related Problems?

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