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Finding the Third Proportional to 204,023,028 and 442,685,211

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Solution

The third proportional to 204,023,028 and 442,685,211 is: 960,529,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,028 : 442,685,211 = 442,685,211 : x
  2. Step 2: Convert to fraction form
    204,023,028/442,685,211 = 442,685,211/x
  3. Step 3: Cross multiply
    204,023,028x = 442,685,211 × 442,685,211
  4. Step 4: Simplify right side
    204,023,028x = 195,970,196,038,114,528
  5. Step 5: Solve for x
    x = 195,970,196,038,114,528/204,023,028
  6. Step 6: Final answer
    x = 960,529,789.01

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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.