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Finding the Third Proportional to 144,228,708 and 340,128,330

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Solution

The third proportional to 144,228,708 and 340,128,330 is: 802,109,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,708 : 340,128,330 = 340,128,330 : x
  2. Step 2: Convert to fraction form
    144,228,708/340,128,330 = 340,128,330/x
  3. Step 3: Cross multiply
    144,228,708x = 340,128,330 × 340,128,330
  4. Step 4: Simplify right side
    144,228,708x = 115,687,280,868,588,896
  5. Step 5: Solve for x
    x = 115,687,280,868,588,896/144,228,708
  6. Step 6: Final answer
    x = 802,109,943.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.