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Finding the Third Proportional to 234,301,689 and 487,996,386

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Solution

The third proportional to 234,301,689 and 487,996,386 is: 1,016,383,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,689 : 487,996,386 = 487,996,386 : x
  2. Step 2: Convert to fraction form
    234,301,689/487,996,386 = 487,996,386/x
  3. Step 3: Cross multiply
    234,301,689x = 487,996,386 × 487,996,386
  4. Step 4: Simplify right side
    234,301,689x = 238,140,472,749,060,992
  5. Step 5: Solve for x
    x = 238,140,472,749,060,992/234,301,689
  6. Step 6: Final answer
    x = 1,016,383,935.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.