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Finding the Third Proportional to 102,657,118.50 and 213,805,791

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Solution

The third proportional to 102,657,118.50 and 213,805,791 is: 445,297,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657,118.50 : 213,805,791 = 213,805,791 : x
  2. Step 2: Convert to fraction form
    102,657,118.50/213,805,791 = 213,805,791/x
  3. Step 3: Cross multiply
    102,657,118.50x = 213,805,791 × 213,805,791
  4. Step 4: Simplify right side
    102,657,118.50x = 45,712,916,265,135,680
  5. Step 5: Solve for x
    x = 45,712,916,265,135,680/102,657,118.50
  6. Step 6: Final answer
    x = 445,297,091.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.