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Finding the Third Proportional to 194,165,626.50 and 417,146,436

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Solution

The third proportional to 194,165,626.50 and 417,146,436 is: 896,199,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,165,626.50 : 417,146,436 = 417,146,436 : x
  2. Step 2: Convert to fraction form
    194,165,626.50/417,146,436 = 417,146,436/x
  3. Step 3: Cross multiply
    194,165,626.50x = 417,146,436 × 417,146,436
  4. Step 4: Simplify right side
    194,165,626.50x = 174,011,149,067,502,080
  5. Step 5: Solve for x
    x = 174,011,149,067,502,080/194,165,626.50
  6. Step 6: Final answer
    x = 896,199,560.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.