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Finding the Third Proportional to 145,444,636 and 313,964,310

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Solution

The third proportional to 145,444,636 and 313,964,310 is: 677,739,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444,636 : 313,964,310 = 313,964,310 : x
  2. Step 2: Convert to fraction form
    145,444,636/313,964,310 = 313,964,310/x
  3. Step 3: Cross multiply
    145,444,636x = 313,964,310 × 313,964,310
  4. Step 4: Simplify right side
    145,444,636x = 98,573,587,953,776,096
  5. Step 5: Solve for x
    x = 98,573,587,953,776,096/145,444,636
  6. Step 6: Final answer
    x = 677,739,589.89

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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.