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Finding the Third Proportional to 90,189,558 and 193,133,685

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Solution

The third proportional to 90,189,558 and 193,133,685 is: 413,580,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,558 : 193,133,685 = 193,133,685 : x
  2. Step 2: Convert to fraction form
    90,189,558/193,133,685 = 193,133,685/x
  3. Step 3: Cross multiply
    90,189,558x = 193,133,685 × 193,133,685
  4. Step 4: Simplify right side
    90,189,558x = 37,300,620,281,679,224
  5. Step 5: Solve for x
    x = 37,300,620,281,679,224/90,189,558
  6. Step 6: Final answer
    x = 413,580,253.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.