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Finding the Third Proportional to 105,035,904 and 168,763,464

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Solution

The third proportional to 105,035,904 and 168,763,464 is: 271,155,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,035,904 : 168,763,464 = 168,763,464 : x
  2. Step 2: Convert to fraction form
    105,035,904/168,763,464 = 168,763,464/x
  3. Step 3: Cross multiply
    105,035,904x = 168,763,464 × 168,763,464
  4. Step 4: Simplify right side
    105,035,904x = 28,481,106,781,279,296
  5. Step 5: Solve for x
    x = 28,481,106,781,279,296/105,035,904
  6. Step 6: Final answer
    x = 271,155,916.18

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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.