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Finding the Third Proportional to 165,675,473 and 259,329,625.50

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Solution

The third proportional to 165,675,473 and 259,329,625.50 is: 405,925,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675,473 : 259,329,625.50 = 259,329,625.50 : x
  2. Step 2: Convert to fraction form
    165,675,473/259,329,625.50 = 259,329,625.50/x
  3. Step 3: Cross multiply
    165,675,473x = 259,329,625.50 × 259,329,625.50
  4. Step 4: Simplify right side
    165,675,473x = 67,251,854,661,970,248
  5. Step 5: Solve for x
    x = 67,251,854,661,970,248/165,675,473
  6. Step 6: Final answer
    x = 405,925,231.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.