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Finding the Third Proportional to 200,933,770 and 433,989,908

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Solution

The third proportional to 200,933,770 and 433,989,908 is: 937,359,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,933,770 : 433,989,908 = 433,989,908 : x
  2. Step 2: Convert to fraction form
    200,933,770/433,989,908 = 433,989,908/x
  3. Step 3: Cross multiply
    200,933,770x = 433,989,908 × 433,989,908
  4. Step 4: Simplify right side
    200,933,770x = 188,347,240,245,848,448
  5. Step 5: Solve for x
    x = 188,347,240,245,848,448/200,933,770
  6. Step 6: Final answer
    x = 937,359,808.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.