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Finding the Third Proportional to 144,281,515 and 302,734,788

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Solution

The third proportional to 144,281,515 and 302,734,788 is: 635,205,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281,515 : 302,734,788 = 302,734,788 : x
  2. Step 2: Convert to fraction form
    144,281,515/302,734,788 = 302,734,788/x
  3. Step 3: Cross multiply
    144,281,515x = 302,734,788 × 302,734,788
  4. Step 4: Simplify right side
    144,281,515x = 91,648,351,865,404,944
  5. Step 5: Solve for x
    x = 91,648,351,865,404,944/144,281,515
  6. Step 6: Final answer
    x = 635,205,084.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.