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Finding the Third Proportional to 204,023,030 and 442,685,215

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Solution

The third proportional to 204,023,030 and 442,685,215 is: 960,529,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,030 : 442,685,215 = 442,685,215 : x
  2. Step 2: Convert to fraction form
    204,023,030/442,685,215 = 442,685,215/x
  3. Step 3: Cross multiply
    204,023,030x = 442,685,215 × 442,685,215
  4. Step 4: Simplify right side
    204,023,030x = 195,970,199,579,596,224
  5. Step 5: Solve for x
    x = 195,970,199,579,596,224/204,023,030
  6. Step 6: Final answer
    x = 960,529,796.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.