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Finding the Third Proportional to 105,696,084 and 232,177,412

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Solution

The third proportional to 105,696,084 and 232,177,412 is: 510,012,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696,084 : 232,177,412 = 232,177,412 : x
  2. Step 2: Convert to fraction form
    105,696,084/232,177,412 = 232,177,412/x
  3. Step 3: Cross multiply
    105,696,084x = 232,177,412 × 232,177,412
  4. Step 4: Simplify right side
    105,696,084x = 53,906,350,643,017,744
  5. Step 5: Solve for x
    x = 53,906,350,643,017,744/105,696,084
  6. Step 6: Final answer
    x = 510,012,751.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.