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Finding the Third Proportional to 173,287,008 and 380,581,264

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Solution

The third proportional to 173,287,008 and 380,581,264 is: 835,850,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,287,008 : 380,581,264 = 380,581,264 : x
  2. Step 2: Convert to fraction form
    173,287,008/380,581,264 = 380,581,264/x
  3. Step 3: Cross multiply
    173,287,008x = 380,581,264 × 380,581,264
  4. Step 4: Simplify right side
    173,287,008x = 144,842,098,507,837,696
  5. Step 5: Solve for x
    x = 144,842,098,507,837,696/173,287,008
  6. Step 6: Final answer
    x = 835,850,882.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.