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Finding the Third Proportional to 200,933,768 and 433,989,904

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Solution

The third proportional to 200,933,768 and 433,989,904 is: 937,359,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,933,768 : 433,989,904 = 433,989,904 : x
  2. Step 2: Convert to fraction form
    200,933,768/433,989,904 = 433,989,904/x
  3. Step 3: Cross multiply
    200,933,768x = 433,989,904 × 433,989,904
  4. Step 4: Simplify right side
    200,933,768x = 188,347,236,773,929,216
  5. Step 5: Solve for x
    x = 188,347,236,773,929,216/200,933,768
  6. Step 6: Final answer
    x = 937,359,800.94

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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.