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Finding the Third Proportional to 144,140,081 and 215,265,583

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Solution

The third proportional to 144,140,081 and 215,265,583 is: 321,487,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,140,081 : 215,265,583 = 215,265,583 : x
  2. Step 2: Convert to fraction form
    144,140,081/215,265,583 = 215,265,583/x
  3. Step 3: Cross multiply
    144,140,081x = 215,265,583 × 215,265,583
  4. Step 4: Simplify right side
    144,140,081x = 46,339,271,224,329,888
  5. Step 5: Solve for x
    x = 46,339,271,224,329,888/144,140,081
  6. Step 6: Final answer
    x = 321,487,756.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.