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Finding the Third Proportional to 144,295,284 and 309,021,480

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Solution

The third proportional to 144,295,284 and 309,021,480 is: 661,797,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,295,284 : 309,021,480 = 309,021,480 : x
  2. Step 2: Convert to fraction form
    144,295,284/309,021,480 = 309,021,480/x
  3. Step 3: Cross multiply
    144,295,284x = 309,021,480 × 309,021,480
  4. Step 4: Simplify right side
    144,295,284x = 95,494,275,101,390,400
  5. Step 5: Solve for x
    x = 95,494,275,101,390,400/144,295,284
  6. Step 6: Final answer
    x = 661,797,617.04

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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.