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Finding the Third Proportional to 104,871,810 and 164,153,025

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Solution

The third proportional to 104,871,810 and 164,153,025 is: 256,944,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,871,810 : 164,153,025 = 164,153,025 : x
  2. Step 2: Convert to fraction form
    104,871,810/164,153,025 = 164,153,025/x
  3. Step 3: Cross multiply
    104,871,810x = 164,153,025 × 164,153,025
  4. Step 4: Simplify right side
    104,871,810x = 26,946,215,616,650,624
  5. Step 5: Solve for x
    x = 26,946,215,616,650,624/104,871,810
  6. Step 6: Final answer
    x = 256,944,317.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.