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Finding the Third Proportional to 194,525,291.25 and 416,851,591.50

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Solution

The third proportional to 194,525,291.25 and 416,851,591.50 is: 893,278,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,525,291.25 : 416,851,591.50 = 416,851,591.50 : x
  2. Step 2: Convert to fraction form
    194,525,291.25/416,851,591.50 = 416,851,591.50/x
  3. Step 3: Cross multiply
    194,525,291.25x = 416,851,591.50 × 416,851,591.50
  4. Step 4: Simplify right side
    194,525,291.25x = 173,765,249,336,082,880
  5. Step 5: Solve for x
    x = 173,765,249,336,082,880/194,525,291.25
  6. Step 6: Final answer
    x = 893,278,443.23

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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.