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Finding the Third Proportional to 146,368,488 and 195,131,472

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Solution

The third proportional to 146,368,488 and 195,131,472 is: 260,139,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368,488 : 195,131,472 = 195,131,472 : x
  2. Step 2: Convert to fraction form
    146,368,488/195,131,472 = 195,131,472/x
  3. Step 3: Cross multiply
    146,368,488x = 195,131,472 × 195,131,472
  4. Step 4: Simplify right side
    146,368,488x = 38,076,291,364,886,784
  5. Step 5: Solve for x
    x = 38,076,291,364,886,784/146,368,488
  6. Step 6: Final answer
    x = 260,139,951.47

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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.