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Finding the Third Proportional to 164,729,448 and 248,782,378.50

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Solution

The third proportional to 164,729,448 and 248,782,378.50 is: 375,723,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729,448 : 248,782,378.50 = 248,782,378.50 : x
  2. Step 2: Convert to fraction form
    164,729,448/248,782,378.50 = 248,782,378.50/x
  3. Step 3: Cross multiply
    164,729,448x = 248,782,378.50 × 248,782,378.50
  4. Step 4: Simplify right side
    164,729,448x = 61,892,671,852,117,264
  5. Step 5: Solve for x
    x = 61,892,671,852,117,264/164,729,448
  6. Step 6: Final answer
    x = 375,723,178.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.