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Finding the Third Proportional to 57,202,931 and 121,889,524

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Solution

The third proportional to 57,202,931 and 121,889,524 is: 259,725,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202,931 : 121,889,524 = 121,889,524 : x
  2. Step 2: Convert to fraction form
    57,202,931/121,889,524 = 121,889,524/x
  3. Step 3: Cross multiply
    57,202,931x = 121,889,524 × 121,889,524
  4. Step 4: Simplify right side
    57,202,931x = 14,857,056,060,946,576
  5. Step 5: Solve for x
    x = 14,857,056,060,946,576/57,202,931
  6. Step 6: Final answer
    x = 259,725,433.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.