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Finding the Third Proportional to 225,326,497.50 and 480,415,536

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Solution

The third proportional to 225,326,497.50 and 480,415,536 is: 1,024,287,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,326,497.50 : 480,415,536 = 480,415,536 : x
  2. Step 2: Convert to fraction form
    225,326,497.50/480,415,536 = 480,415,536/x
  3. Step 3: Cross multiply
    225,326,497.50x = 480,415,536 × 480,415,536
  4. Step 4: Simplify right side
    225,326,497.50x = 230,799,087,230,167,296
  5. Step 5: Solve for x
    x = 230,799,087,230,167,296/225,326,497.50
  6. Step 6: Final answer
    x = 1,024,287,377.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.