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Finding the Third Proportional to 183,789,320 and 284,546,316

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Solution

The third proportional to 183,789,320 and 284,546,316 is: 440,540,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,789,320 : 284,546,316 = 284,546,316 : x
  2. Step 2: Convert to fraction form
    183,789,320/284,546,316 = 284,546,316/x
  3. Step 3: Cross multiply
    183,789,320x = 284,546,316 × 284,546,316
  4. Step 4: Simplify right side
    183,789,320x = 80,966,605,949,171,856
  5. Step 5: Solve for x
    x = 80,966,605,949,171,856/183,789,320
  6. Step 6: Final answer
    x = 440,540,320.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.