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Finding the Third Proportional to 102,657,188 and 213,805,930

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Solution

The third proportional to 102,657,188 and 213,805,930 is: 445,297,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657,188 : 213,805,930 = 213,805,930 : x
  2. Step 2: Convert to fraction form
    102,657,188/213,805,930 = 213,805,930/x
  3. Step 3: Cross multiply
    102,657,188x = 213,805,930 × 213,805,930
  4. Step 4: Simplify right side
    102,657,188x = 45,712,975,703,164,896
  5. Step 5: Solve for x
    x = 45,712,975,703,164,896/102,657,188
  6. Step 6: Final answer
    x = 445,297,368.78

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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.