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Finding the Third Proportional to 81,763,123.50 and 125,675,551.50

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Solution

The third proportional to 81,763,123.50 and 125,675,551.50 is: 193,171,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763,123.50 : 125,675,551.50 = 125,675,551.50 : x
  2. Step 2: Convert to fraction form
    81,763,123.50/125,675,551.50 = 125,675,551.50/x
  3. Step 3: Cross multiply
    81,763,123.50x = 125,675,551.50 × 125,675,551.50
  4. Step 4: Simplify right side
    81,763,123.50x = 15,794,344,244,829,152
  5. Step 5: Solve for x
    x = 15,794,344,244,829,152/81,763,123.50
  6. Step 6: Final answer
    x = 193,171,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.