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Finding the Third Proportional to 209,002,760 and 329,533,484

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Solution

The third proportional to 209,002,760 and 329,533,484 is: 519,573,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,002,760 : 329,533,484 = 329,533,484 : x
  2. Step 2: Convert to fraction form
    209,002,760/329,533,484 = 329,533,484/x
  3. Step 3: Cross multiply
    209,002,760x = 329,533,484 × 329,533,484
  4. Step 4: Simplify right side
    209,002,760x = 108,592,317,077,178,256
  5. Step 5: Solve for x
    x = 108,592,317,077,178,256/209,002,760
  6. Step 6: Final answer
    x = 519,573,603.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.