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Finding the Third Proportional to 144,564,468.75 and 220,234,639.25

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Solution

The third proportional to 144,564,468.75 and 220,234,639.25 is: 335,513,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564,468.75 : 220,234,639.25 = 220,234,639.25 : x
  2. Step 2: Convert to fraction form
    144,564,468.75/220,234,639.25 = 220,234,639.25/x
  3. Step 3: Cross multiply
    144,564,468.75x = 220,234,639.25 × 220,234,639.25
  4. Step 4: Simplify right side
    144,564,468.75x = 48,503,296,325,577,640
  5. Step 5: Solve for x
    x = 48,503,296,325,577,640/144,564,468.75
  6. Step 6: Final answer
    x = 335,513,260.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.