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Finding the Third Proportional to 102,381,623 and 144,866,857

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Solution

The third proportional to 102,381,623 and 144,866,857 is: 204,982,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,623 : 144,866,857 = 144,866,857 : x
  2. Step 2: Convert to fraction form
    102,381,623/144,866,857 = 144,866,857/x
  3. Step 3: Cross multiply
    102,381,623x = 144,866,857 × 144,866,857
  4. Step 4: Simplify right side
    102,381,623x = 20,986,406,257,058,448
  5. Step 5: Solve for x
    x = 20,986,406,257,058,448/102,381,623
  6. Step 6: Final answer
    x = 204,982,160.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.