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Finding the Third Proportional to 105,986,650 and 159,987,616

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Solution

The third proportional to 105,986,650 and 159,987,616 is: 241,502,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986,650 : 159,987,616 = 159,987,616 : x
  2. Step 2: Convert to fraction form
    105,986,650/159,987,616 = 159,987,616/x
  3. Step 3: Cross multiply
    105,986,650x = 159,987,616 × 159,987,616
  4. Step 4: Simplify right side
    105,986,650x = 25,596,037,273,363,456
  5. Step 5: Solve for x
    x = 25,596,037,273,363,456/105,986,650
  6. Step 6: Final answer
    x = 241,502,465.39

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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.