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Finding the Third Proportional to 144,281,512 and 302,734,786

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Solution

The third proportional to 144,281,512 and 302,734,786 is: 635,205,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281,512 : 302,734,786 = 302,734,786 : x
  2. Step 2: Convert to fraction form
    144,281,512/302,734,786 = 302,734,786/x
  3. Step 3: Cross multiply
    144,281,512x = 302,734,786 × 302,734,786
  4. Step 4: Simplify right side
    144,281,512x = 91,648,350,654,465,792
  5. Step 5: Solve for x
    x = 91,648,350,654,465,792/144,281,512
  6. Step 6: Final answer
    x = 635,205,088.89

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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.