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Finding the Third Proportional to 130,230,135 and 271,177,656

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Solution

The third proportional to 130,230,135 and 271,177,656 is: 564,672,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,230,135 : 271,177,656 = 271,177,656 : x
  2. Step 2: Convert to fraction form
    130,230,135/271,177,656 = 271,177,656/x
  3. Step 3: Cross multiply
    130,230,135x = 271,177,656 × 271,177,656
  4. Step 4: Simplify right side
    130,230,135x = 73,537,321,113,654,336
  5. Step 5: Solve for x
    x = 73,537,321,113,654,336/130,230,135
  6. Step 6: Final answer
    x = 564,672,079.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.