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Finding the Third Proportional to 75,443,662 and 165,010,486

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Solution

The third proportional to 75,443,662 and 165,010,486 is: 360,911,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443,662 : 165,010,486 = 165,010,486 : x
  2. Step 2: Convert to fraction form
    75,443,662/165,010,486 = 165,010,486/x
  3. Step 3: Cross multiply
    75,443,662x = 165,010,486 × 165,010,486
  4. Step 4: Simplify right side
    75,443,662x = 27,228,460,489,956,196
  5. Step 5: Solve for x
    x = 27,228,460,489,956,196/75,443,662
  6. Step 6: Final answer
    x = 360,911,172.23

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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.