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Finding the Third Proportional to 75,677,880 and 165,488,964

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Solution

The third proportional to 75,677,880 and 165,488,964 is: 361,883,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,677,880 : 165,488,964 = 165,488,964 : x
  2. Step 2: Convert to fraction form
    75,677,880/165,488,964 = 165,488,964/x
  3. Step 3: Cross multiply
    75,677,880x = 165,488,964 × 165,488,964
  4. Step 4: Simplify right side
    75,677,880x = 27,386,597,205,793,296
  5. Step 5: Solve for x
    x = 27,386,597,205,793,296/75,677,880
  6. Step 6: Final answer
    x = 361,883,779.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.