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Finding the Third Proportional to 120,047,511.25 and 267,697,835

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Solution

The third proportional to 120,047,511.25 and 267,697,835 is: 596,948,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,047,511.25 : 267,697,835 = 267,697,835 : x
  2. Step 2: Convert to fraction form
    120,047,511.25/267,697,835 = 267,697,835/x
  3. Step 3: Cross multiply
    120,047,511.25x = 267,697,835 × 267,697,835
  4. Step 4: Simplify right side
    120,047,511.25x = 71,662,130,863,687,224
  5. Step 5: Solve for x
    x = 71,662,130,863,687,224/120,047,511.25
  6. Step 6: Final answer
    x = 596,948,075.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.