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Finding the Third Proportional to 133,748,377 and 271,257,454

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Solution

The third proportional to 133,748,377 and 271,257,454 is: 550,142,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748,377 : 271,257,454 = 271,257,454 : x
  2. Step 2: Convert to fraction form
    133,748,377/271,257,454 = 271,257,454/x
  3. Step 3: Cross multiply
    133,748,377x = 271,257,454 × 271,257,454
  4. Step 4: Simplify right side
    133,748,377x = 73,580,606,350,562,112
  5. Step 5: Solve for x
    x = 73,580,606,350,562,112/133,748,377
  6. Step 6: Final answer
    x = 550,142,050.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.