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Finding the Third Proportional to 106,959,127.25 and 234,423,020

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Solution

The third proportional to 106,959,127.25 and 234,423,020 is: 513,786,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959,127.25 : 234,423,020 = 234,423,020 : x
  2. Step 2: Convert to fraction form
    106,959,127.25/234,423,020 = 234,423,020/x
  3. Step 3: Cross multiply
    106,959,127.25x = 234,423,020 × 234,423,020
  4. Step 4: Simplify right side
    106,959,127.25x = 54,954,152,305,920,400
  5. Step 5: Solve for x
    x = 54,954,152,305,920,400/106,959,127.25
  6. Step 6: Final answer
    x = 513,786,468.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.