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Finding the Third Proportional to 144,295,286 and 309,021,484

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Solution

The third proportional to 144,295,286 and 309,021,484 is: 661,797,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,295,286 : 309,021,484 = 309,021,484 : x
  2. Step 2: Convert to fraction form
    144,295,286/309,021,484 = 309,021,484/x
  3. Step 3: Cross multiply
    144,295,286x = 309,021,484 × 309,021,484
  4. Step 4: Simplify right side
    144,295,286x = 95,494,277,573,562,256
  5. Step 5: Solve for x
    x = 95,494,277,573,562,256/144,295,286
  6. Step 6: Final answer
    x = 661,797,625.00

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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.