Home / 211,046,115.09-458,423,038.69

Finding the Third Proportional to 211,046,115.09 and 458,423,038.69

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Solution

The third proportional to 211,046,115.09 and 458,423,038.69 is: 995,761,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046,115.09 : 458,423,038.69 = 458,423,038.69 : x
  2. Step 2: Convert to fraction form
    211,046,115.09/458,423,038.69 = 458,423,038.69/x
  3. Step 3: Cross multiply
    211,046,115.09x = 458,423,038.69 × 458,423,038.69
  4. Step 4: Simplify right side
    211,046,115.09x = 210,151,682,399,481,120
  5. Step 5: Solve for x
    x = 210,151,682,399,481,120/211,046,115.09
  6. Step 6: Final answer
    x = 995,761,908.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.