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Finding the Third Proportional to 75,443,660 and 165,010,482

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Solution

The third proportional to 75,443,660 and 165,010,482 is: 360,911,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443,660 : 165,010,482 = 165,010,482 : x
  2. Step 2: Convert to fraction form
    75,443,660/165,010,482 = 165,010,482/x
  3. Step 3: Cross multiply
    75,443,660x = 165,010,482 × 165,010,482
  4. Step 4: Simplify right side
    75,443,660x = 27,228,459,169,872,324
  5. Step 5: Solve for x
    x = 27,228,459,169,872,324/75,443,660
  6. Step 6: Final answer
    x = 360,911,164.30

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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.