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Finding the Third Proportional to 121,139,732.94 and 264,204,482.69

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Solution

The third proportional to 121,139,732.94 and 264,204,482.69 is: 576,227,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139,732.94 : 264,204,482.69 = 264,204,482.69 : x
  2. Step 2: Convert to fraction form
    121,139,732.94/264,204,482.69 = 264,204,482.69/x
  3. Step 3: Cross multiply
    121,139,732.94x = 264,204,482.69 × 264,204,482.69
  4. Step 4: Simplify right side
    121,139,732.94x = 69,804,008,672,169,488
  5. Step 5: Solve for x
    x = 69,804,008,672,169,488/121,139,732.94
  6. Step 6: Final answer
    x = 576,227,196.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.