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Finding the Third Proportional to 203,360,493 and 286,376,386

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Solution

The third proportional to 203,360,493 and 286,376,386 is: 403,281,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,360,493 : 286,376,386 = 286,376,386 : x
  2. Step 2: Convert to fraction form
    203,360,493/286,376,386 = 286,376,386/x
  3. Step 3: Cross multiply
    203,360,493x = 286,376,386 × 286,376,386
  4. Step 4: Simplify right side
    203,360,493x = 82,011,434,458,420,992
  5. Step 5: Solve for x
    x = 82,011,434,458,420,992/203,360,493
  6. Step 6: Final answer
    x = 403,281,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.