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Finding the Third Proportional to 193,905,454.50 and 414,684,765

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Solution

The third proportional to 193,905,454.50 and 414,684,765 is: 886,841,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,905,454.50 : 414,684,765 = 414,684,765 : x
  2. Step 2: Convert to fraction form
    193,905,454.50/414,684,765 = 414,684,765/x
  3. Step 3: Cross multiply
    193,905,454.50x = 414,684,765 × 414,684,765
  4. Step 4: Simplify right side
    193,905,454.50x = 171,963,454,323,105,216
  5. Step 5: Solve for x
    x = 171,963,454,323,105,216/193,905,454.50
  6. Step 6: Final answer
    x = 886,841,758.87

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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.