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Finding the Third Proportional to 292,553,676.75 and 401,162,172.75

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Solution

The third proportional to 292,553,676.75 and 401,162,172.75 is: 550,090,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,553,676.75 : 401,162,172.75 = 401,162,172.75 : x
  2. Step 2: Convert to fraction form
    292,553,676.75/401,162,172.75 = 401,162,172.75/x
  3. Step 3: Cross multiply
    292,553,676.75x = 401,162,172.75 × 401,162,172.75
  4. Step 4: Simplify right side
    292,553,676.75x = 160,931,088,845,500,832
  5. Step 5: Solve for x
    x = 160,931,088,845,500,832/292,553,676.75
  6. Step 6: Final answer
    x = 550,090,809.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.