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Finding the Third Proportional to 145,135,556 and 313,359,352

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Solution

The third proportional to 145,135,556 and 313,359,352 is: 676,568,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135,556 : 313,359,352 = 313,359,352 : x
  2. Step 2: Convert to fraction form
    145,135,556/313,359,352 = 313,359,352/x
  3. Step 3: Cross multiply
    145,135,556x = 313,359,352 × 313,359,352
  4. Step 4: Simplify right side
    145,135,556x = 98,194,083,485,859,904
  5. Step 5: Solve for x
    x = 98,194,083,485,859,904/145,135,556
  6. Step 6: Final answer
    x = 676,568,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.