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Finding the Third Proportional to 194,197,537.13 and 415,941,432.75

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Solution

The third proportional to 194,197,537.13 and 415,941,432.75 is: 890,882,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,197,537.13 : 415,941,432.75 = 415,941,432.75 : x
  2. Step 2: Convert to fraction form
    194,197,537.13/415,941,432.75 = 415,941,432.75/x
  3. Step 3: Cross multiply
    194,197,537.13x = 415,941,432.75 × 415,941,432.75
  4. Step 4: Simplify right side
    194,197,537.13x = 173,007,275,478,122,784
  5. Step 5: Solve for x
    x = 173,007,275,478,122,784/194,197,537.13
  6. Step 6: Final answer
    x = 890,882,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.