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Finding the Third Proportional to 204,579,207 and 312,957,423

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Solution

The third proportional to 204,579,207 and 312,957,423 is: 478,750,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,579,207 : 312,957,423 = 312,957,423 : x
  2. Step 2: Convert to fraction form
    204,579,207/312,957,423 = 312,957,423/x
  3. Step 3: Cross multiply
    204,579,207x = 312,957,423 × 312,957,423
  4. Step 4: Simplify right side
    204,579,207x = 97,942,348,610,800,928
  5. Step 5: Solve for x
    x = 97,942,348,610,800,928/204,579,207
  6. Step 6: Final answer
    x = 478,750,260.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.