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Finding the Third Proportional to 187,150,482 and 417,332,862

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Solution

The third proportional to 187,150,482 and 417,332,862 is: 930,623,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150,482 : 417,332,862 = 417,332,862 : x
  2. Step 2: Convert to fraction form
    187,150,482/417,332,862 = 417,332,862/x
  3. Step 3: Cross multiply
    187,150,482x = 417,332,862 × 417,332,862
  4. Step 4: Simplify right side
    187,150,482x = 174,166,717,705,111,040
  5. Step 5: Solve for x
    x = 174,166,717,705,111,040/187,150,482
  6. Step 6: Final answer
    x = 930,623,933.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.