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Finding the Third Proportional to 100,812,824 and 155,696,350

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Solution

The third proportional to 100,812,824 and 155,696,350 is: 240,459,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,824 : 155,696,350 = 155,696,350 : x
  2. Step 2: Convert to fraction form
    100,812,824/155,696,350 = 155,696,350/x
  3. Step 3: Cross multiply
    100,812,824x = 155,696,350 × 155,696,350
  4. Step 4: Simplify right side
    100,812,824x = 24,241,353,403,322,500
  5. Step 5: Solve for x
    x = 24,241,353,403,322,500/100,812,824
  6. Step 6: Final answer
    x = 240,459,025.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.