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Finding the Third Proportional to 234,301,633.50 and 487,996,270.50

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Solution

The third proportional to 234,301,633.50 and 487,996,270.50 is: 1,016,383,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,633.50 : 487,996,270.50 = 487,996,270.50 : x
  2. Step 2: Convert to fraction form
    234,301,633.50/487,996,270.50 = 487,996,270.50/x
  3. Step 3: Cross multiply
    234,301,633.50x = 487,996,270.50 × 487,996,270.50
  4. Step 4: Simplify right side
    234,301,633.50x = 238,140,360,021,909,184
  5. Step 5: Solve for x
    x = 238,140,360,021,909,184/234,301,633.50
  6. Step 6: Final answer
    x = 1,016,383,695.09

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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.