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Finding the Third Proportional to 114,003,624 and 188,693,352

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Solution

The third proportional to 114,003,624 and 188,693,352 is: 312,316,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003,624 : 188,693,352 = 188,693,352 : x
  2. Step 2: Convert to fraction form
    114,003,624/188,693,352 = 188,693,352/x
  3. Step 3: Cross multiply
    114,003,624x = 188,693,352 × 188,693,352
  4. Step 4: Simplify right side
    114,003,624x = 35,605,181,088,995,904
  5. Step 5: Solve for x
    x = 35,605,181,088,995,904/114,003,624
  6. Step 6: Final answer
    x = 312,316,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.