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Finding the Third Proportional to 105,991,898 and 159,518,554

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Solution

The third proportional to 105,991,898 and 159,518,554 is: 240,076,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991,898 : 159,518,554 = 159,518,554 : x
  2. Step 2: Convert to fraction form
    105,991,898/159,518,554 = 159,518,554/x
  3. Step 3: Cross multiply
    105,991,898x = 159,518,554 × 159,518,554
  4. Step 4: Simplify right side
    105,991,898x = 25,446,169,070,250,916
  5. Step 5: Solve for x
    x = 25,446,169,070,250,916/105,991,898
  6. Step 6: Final answer
    x = 240,076,548.78

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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.