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Finding the Third Proportional to 214,126,359,462 and 323,948,004,464

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Solution

The third proportional to 214,126,359,462 and 323,948,004,464 is: 490,095,240,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,126,359,462 : 323,948,004,464 = 323,948,004,464 : x
  2. Step 2: Convert to fraction form
    214,126,359,462/323,948,004,464 = 323,948,004,464/x
  3. Step 3: Cross multiply
    214,126,359,462x = 323,948,004,464 × 323,948,004,464
  4. Step 4: Simplify right side
    214,126,359,462x = 104,942,309,596,207,771,549,696
  5. Step 5: Solve for x
    x = 104,942,309,596,207,771,549,696/214,126,359,462
  6. Step 6: Final answer
    x = 490,095,240,305.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.