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Finding the Third Proportional to 104,960,631 and 144,686,160

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Solution

The third proportional to 104,960,631 and 144,686,160 is: 199,447,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960,631 : 144,686,160 = 144,686,160 : x
  2. Step 2: Convert to fraction form
    104,960,631/144,686,160 = 144,686,160/x
  3. Step 3: Cross multiply
    104,960,631x = 144,686,160 × 144,686,160
  4. Step 4: Simplify right side
    104,960,631x = 20,934,084,895,545,600
  5. Step 5: Solve for x
    x = 20,934,084,895,545,600/104,960,631
  6. Step 6: Final answer
    x = 199,447,018.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.