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Finding the Third Proportional to 226,565,515.13 and 487,993,006.13

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Solution

The third proportional to 226,565,515.13 and 487,993,006.13 is: 1,051,074,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,565,515.13 : 487,993,006.13 = 487,993,006.13 : x
  2. Step 2: Convert to fraction form
    226,565,515.13/487,993,006.13 = 487,993,006.13/x
  3. Step 3: Cross multiply
    226,565,515.13x = 487,993,006.13 × 487,993,006.13
  4. Step 4: Simplify right side
    226,565,515.13x = 238,137,174,026,914,272
  5. Step 5: Solve for x
    x = 238,137,174,026,914,272/226,565,515.13
  6. Step 6: Final answer
    x = 1,051,074,228.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.