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Finding the Third Proportional to 105,035,910 and 168,763,473

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Solution

The third proportional to 105,035,910 and 168,763,473 is: 271,155,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,035,910 : 168,763,473 = 168,763,473 : x
  2. Step 2: Convert to fraction form
    105,035,910/168,763,473 = 168,763,473/x
  3. Step 3: Cross multiply
    105,035,910x = 168,763,473 × 168,763,473
  4. Step 4: Simplify right side
    105,035,910x = 28,481,109,819,021,728
  5. Step 5: Solve for x
    x = 28,481,109,819,021,728/105,035,910
  6. Step 6: Final answer
    x = 271,155,929.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.