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Finding the Third Proportional to 194,208,471.25 and 416,118,304.50

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Solution

The third proportional to 194,208,471.25 and 416,118,304.50 is: 891,590,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,208,471.25 : 416,118,304.50 = 416,118,304.50 : x
  2. Step 2: Convert to fraction form
    194,208,471.25/416,118,304.50 = 416,118,304.50/x
  3. Step 3: Cross multiply
    194,208,471.25x = 416,118,304.50 × 416,118,304.50
  4. Step 4: Simplify right side
    194,208,471.25x = 173,154,443,339,954,720
  5. Step 5: Solve for x
    x = 173,154,443,339,954,720/194,208,471.25
  6. Step 6: Final answer
    x = 891,590,579.06

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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.