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Finding the Third Proportional to 430,238,528.44 and 950,914,380.38

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Solution

The third proportional to 430,238,528.44 and 950,914,380.38 is: 2,101,713,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,238,528.44 : 950,914,380.38 = 950,914,380.38 : x
  2. Step 2: Convert to fraction form
    430,238,528.44/950,914,380.38 = 950,914,380.38/x
  3. Step 3: Cross multiply
    430,238,528.44x = 950,914,380.38 × 950,914,380.38
  4. Step 4: Simplify right side
    430,238,528.44x = 904,238,158,803,970,176
  5. Step 5: Solve for x
    x = 904,238,158,803,970,176/430,238,528.44
  6. Step 6: Final answer
    x = 2,101,713,582.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.