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Finding the Third Proportional to 99,925,831.50 and 222,827,760.75

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Solution

The third proportional to 99,925,831.50 and 222,827,760.75 is: 496,890,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925,831.50 : 222,827,760.75 = 222,827,760.75 : x
  2. Step 2: Convert to fraction form
    99,925,831.50/222,827,760.75 = 222,827,760.75/x
  3. Step 3: Cross multiply
    99,925,831.50x = 222,827,760.75 × 222,827,760.75
  4. Step 4: Simplify right side
    99,925,831.50x = 49,652,210,960,859,240
  5. Step 5: Solve for x
    x = 49,652,210,960,859,240/99,925,831.50
  6. Step 6: Final answer
    x = 496,890,645.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.