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Finding the Third Proportional to 133,408,239 and 289,084,755

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Solution

The third proportional to 133,408,239 and 289,084,755 is: 626,423,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,408,239 : 289,084,755 = 289,084,755 : x
  2. Step 2: Convert to fraction form
    133,408,239/289,084,755 = 289,084,755/x
  3. Step 3: Cross multiply
    133,408,239x = 289,084,755 × 289,084,755
  4. Step 4: Simplify right side
    133,408,239x = 83,569,995,573,410,032
  5. Step 5: Solve for x
    x = 83,569,995,573,410,032/133,408,239
  6. Step 6: Final answer
    x = 626,423,047.03

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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.