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Finding the Third Proportional to 234,301,688.25 and 487,996,384.50

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Solution

The third proportional to 234,301,688.25 and 487,996,384.50 is: 1,016,383,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,688.25 : 487,996,384.50 = 487,996,384.50 : x
  2. Step 2: Convert to fraction form
    234,301,688.25/487,996,384.50 = 487,996,384.50/x
  3. Step 3: Cross multiply
    234,301,688.25x = 487,996,384.50 × 487,996,384.50
  4. Step 4: Simplify right side
    234,301,688.25x = 238,140,471,285,071,840
  5. Step 5: Solve for x
    x = 238,140,471,285,071,840/234,301,688.25
  6. Step 6: Final answer
    x = 1,016,383,932.46

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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.