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Finding the Third Proportional to 291,525,132 and 447,031,350

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Solution

The third proportional to 291,525,132 and 447,031,350 is: 685,488,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,525,132 : 447,031,350 = 447,031,350 : x
  2. Step 2: Convert to fraction form
    291,525,132/447,031,350 = 447,031,350/x
  3. Step 3: Cross multiply
    291,525,132x = 447,031,350 × 447,031,350
  4. Step 4: Simplify right side
    291,525,132x = 199,837,027,882,822,496
  5. Step 5: Solve for x
    x = 199,837,027,882,822,496/291,525,132
  6. Step 6: Final answer
    x = 685,488,165.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.