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Finding the Third Proportional to 122,942,911.50 and 186,931,800.75

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Solution

The third proportional to 122,942,911.50 and 186,931,800.75 is: 284,225,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942,911.50 : 186,931,800.75 = 186,931,800.75 : x
  2. Step 2: Convert to fraction form
    122,942,911.50/186,931,800.75 = 186,931,800.75/x
  3. Step 3: Cross multiply
    122,942,911.50x = 186,931,800.75 × 186,931,800.75
  4. Step 4: Simplify right side
    122,942,911.50x = 34,943,498,131,637,700
  5. Step 5: Solve for x
    x = 34,943,498,131,637,700/122,942,911.50
  6. Step 6: Final answer
    x = 284,225,399.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.