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Finding the Third Proportional to 134,055,968 and 289,274,068

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Solution

The third proportional to 134,055,968 and 289,274,068 is: 624,213,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,055,968 : 289,274,068 = 289,274,068 : x
  2. Step 2: Convert to fraction form
    134,055,968/289,274,068 = 289,274,068/x
  3. Step 3: Cross multiply
    134,055,968x = 289,274,068 × 289,274,068
  4. Step 4: Simplify right side
    134,055,968x = 83,679,486,417,268,624
  5. Step 5: Solve for x
    x = 83,679,486,417,268,624/134,055,968
  6. Step 6: Final answer
    x = 624,213,063.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.