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Finding the Third Proportional to 71,874,544 and 117,352,239

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Solution

The third proportional to 71,874,544 and 117,352,239 is: 191,605,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874,544 : 117,352,239 = 117,352,239 : x
  2. Step 2: Convert to fraction form
    71,874,544/117,352,239 = 117,352,239/x
  3. Step 3: Cross multiply
    71,874,544x = 117,352,239 × 117,352,239
  4. Step 4: Simplify right side
    71,874,544x = 13,771,547,998,313,120
  5. Step 5: Solve for x
    x = 13,771,547,998,313,120/71,874,544
  6. Step 6: Final answer
    x = 191,605,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.