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Finding the Third Proportional to 144,228,600 and 340,128,072

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Solution

The third proportional to 144,228,600 and 340,128,072 is: 802,109,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,600 : 340,128,072 = 340,128,072 : x
  2. Step 2: Convert to fraction form
    144,228,600/340,128,072 = 340,128,072/x
  3. Step 3: Cross multiply
    144,228,600x = 340,128,072 × 340,128,072
  4. Step 4: Simplify right side
    144,228,600x = 115,687,105,362,437,184
  5. Step 5: Solve for x
    x = 115,687,105,362,437,184/144,228,600
  6. Step 6: Final answer
    x = 802,109,327.57

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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.