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Finding the Third Proportional to 271,673,821.13 and 423,653,230.13

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Solution

The third proportional to 271,673,821.13 and 423,653,230.13 is: 660,652,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,673,821.13 : 423,653,230.13 = 423,653,230.13 : x
  2. Step 2: Convert to fraction form
    271,673,821.13/423,653,230.13 = 423,653,230.13/x
  3. Step 3: Cross multiply
    271,673,821.13x = 423,653,230.13 × 423,653,230.13
  4. Step 4: Simplify right side
    271,673,821.13x = 179,482,059,395,346,208
  5. Step 5: Solve for x
    x = 179,482,059,395,346,208/271,673,821.13
  6. Step 6: Final answer
    x = 660,652,758.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.