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Finding the Third Proportional to 271,894,036.50 and 415,643,359.50

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Solution

The third proportional to 271,894,036.50 and 415,643,359.50 is: 635,392,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894,036.50 : 415,643,359.50 = 415,643,359.50 : x
  2. Step 2: Convert to fraction form
    271,894,036.50/415,643,359.50 = 415,643,359.50/x
  3. Step 3: Cross multiply
    271,894,036.50x = 415,643,359.50 × 415,643,359.50
  4. Step 4: Simplify right side
    271,894,036.50x = 172,759,402,296,446,240
  5. Step 5: Solve for x
    x = 172,759,402,296,446,240/271,894,036.50
  6. Step 6: Final answer
    x = 635,392,392.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.