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Finding the Third Proportional to 119,642,264 and 259,703,588

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Solution

The third proportional to 119,642,264 and 259,703,588 is: 563,730,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,264 : 259,703,588 = 259,703,588 : x
  2. Step 2: Convert to fraction form
    119,642,264/259,703,588 = 259,703,588/x
  3. Step 3: Cross multiply
    119,642,264x = 259,703,588 × 259,703,588
  4. Step 4: Simplify right side
    119,642,264x = 67,445,953,620,073,744
  5. Step 5: Solve for x
    x = 67,445,953,620,073,744/119,642,264
  6. Step 6: Final answer
    x = 563,730,168.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.