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Finding the Third Proportional to 174,612,418.50 and 380,225,559

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Solution

The third proportional to 174,612,418.50 and 380,225,559 is: 827,956,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612,418.50 : 380,225,559 = 380,225,559 : x
  2. Step 2: Convert to fraction form
    174,612,418.50/380,225,559 = 380,225,559/x
  3. Step 3: Cross multiply
    174,612,418.50x = 380,225,559 × 380,225,559
  4. Step 4: Simplify right side
    174,612,418.50x = 144,571,475,716,862,496
  5. Step 5: Solve for x
    x = 144,571,475,716,862,496/174,612,418.50
  6. Step 6: Final answer
    x = 827,956,436.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.