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Finding the Third Proportional to 146,368,465.50 and 195,131,440.50

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Solution

The third proportional to 146,368,465.50 and 195,131,440.50 is: 260,139,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368,465.50 : 195,131,440.50 = 195,131,440.50 : x
  2. Step 2: Convert to fraction form
    146,368,465.50/195,131,440.50 = 195,131,440.50/x
  3. Step 3: Cross multiply
    146,368,465.50x = 195,131,440.50 × 195,131,440.50
  4. Step 4: Simplify right side
    146,368,465.50x = 38,076,279,071,605,040
  5. Step 5: Solve for x
    x = 38,076,279,071,605,040/146,368,465.50
  6. Step 6: Final answer
    x = 260,139,907.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.