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Finding the Third Proportional to 194,209,580 and 416,120,485

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Solution

The third proportional to 194,209,580 and 416,120,485 is: 891,594,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,580 : 416,120,485 = 416,120,485 : x
  2. Step 2: Convert to fraction form
    194,209,580/416,120,485 = 416,120,485/x
  3. Step 3: Cross multiply
    194,209,580x = 416,120,485 × 416,120,485
  4. Step 4: Simplify right side
    194,209,580x = 173,156,258,036,635,232
  5. Step 5: Solve for x
    x = 173,156,258,036,635,232/194,209,580
  6. Step 6: Final answer
    x = 891,594,832.95

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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.