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Finding the Third Proportional to 53,189,415 and 116,467,785

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Solution

The third proportional to 53,189,415 and 116,467,785 is: 255,027,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,189,415 : 116,467,785 = 116,467,785 : x
  2. Step 2: Convert to fraction form
    53,189,415/116,467,785 = 116,467,785/x
  3. Step 3: Cross multiply
    53,189,415x = 116,467,785 × 116,467,785
  4. Step 4: Simplify right side
    53,189,415x = 13,564,744,942,806,224
  5. Step 5: Solve for x
    x = 13,564,744,942,806,224/53,189,415
  6. Step 6: Final answer
    x = 255,027,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.