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Finding the Third Proportional to 194,208,604.50 and 416,118,561

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Solution

The third proportional to 194,208,604.50 and 416,118,561 is: 891,591,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,208,604.50 : 416,118,561 = 416,118,561 : x
  2. Step 2: Convert to fraction form
    194,208,604.50/416,118,561 = 416,118,561/x
  3. Step 3: Cross multiply
    194,208,604.50x = 416,118,561 × 416,118,561
  4. Step 4: Simplify right side
    194,208,604.50x = 173,154,656,808,710,720
  5. Step 5: Solve for x
    x = 173,154,656,808,710,720/194,208,604.50
  6. Step 6: Final answer
    x = 891,591,066.50

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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.