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Finding the Third Proportional to 107,685,954 and 235,107,396

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Solution

The third proportional to 107,685,954 and 235,107,396 is: 513,302,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,685,954 : 235,107,396 = 235,107,396 : x
  2. Step 2: Convert to fraction form
    107,685,954/235,107,396 = 235,107,396/x
  3. Step 3: Cross multiply
    107,685,954x = 235,107,396 × 235,107,396
  4. Step 4: Simplify right side
    107,685,954x = 55,275,487,653,900,816
  5. Step 5: Solve for x
    x = 55,275,487,653,900,816/107,685,954
  6. Step 6: Final answer
    x = 513,302,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.