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Finding the Third Proportional to 144,295,320 and 309,021,552

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Solution

The third proportional to 144,295,320 and 309,021,552 is: 661,797,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,295,320 : 309,021,552 = 309,021,552 : x
  2. Step 2: Convert to fraction form
    144,295,320/309,021,552 = 309,021,552/x
  3. Step 3: Cross multiply
    144,295,320x = 309,021,552 × 309,021,552
  4. Step 4: Simplify right side
    144,295,320x = 95,494,319,600,488,704
  5. Step 5: Solve for x
    x = 95,494,319,600,488,704/144,295,320
  6. Step 6: Final answer
    x = 661,797,760.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.