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Finding the Third Proportional to 100,201,324 and 155,150,560

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Solution

The third proportional to 100,201,324 and 155,150,560 is: 240,233,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201,324 : 155,150,560 = 155,150,560 : x
  2. Step 2: Convert to fraction form
    100,201,324/155,150,560 = 155,150,560/x
  3. Step 3: Cross multiply
    100,201,324x = 155,150,560 × 155,150,560
  4. Step 4: Simplify right side
    100,201,324x = 24,071,696,268,313,600
  5. Step 5: Solve for x
    x = 24,071,696,268,313,600/100,201,324
  6. Step 6: Final answer
    x = 240,233,315.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.