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Finding the Third Proportional to 103,692,003.19 and 222,754,789.13

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Solution

The third proportional to 103,692,003.19 and 222,754,789.13 is: 478,529,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692,003.19 : 222,754,789.13 = 222,754,789.13 : x
  2. Step 2: Convert to fraction form
    103,692,003.19/222,754,789.13 = 222,754,789.13/x
  3. Step 3: Cross multiply
    103,692,003.19x = 222,754,789.13 × 222,754,789.13
  4. Step 4: Simplify right side
    103,692,003.19x = 49,619,696,078,123,216
  5. Step 5: Solve for x
    x = 49,619,696,078,123,216/103,692,003.19
  6. Step 6: Final answer
    x = 478,529,631.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.