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Finding the Third Proportional to 144,135,552 and 223,370,424

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Solution

The third proportional to 144,135,552 and 223,370,424 is: 346,162,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,135,552 : 223,370,424 = 223,370,424 : x
  2. Step 2: Convert to fraction form
    144,135,552/223,370,424 = 223,370,424/x
  3. Step 3: Cross multiply
    144,135,552x = 223,370,424 × 223,370,424
  4. Step 4: Simplify right side
    144,135,552x = 49,894,346,317,939,776
  5. Step 5: Solve for x
    x = 49,894,346,317,939,776/144,135,552
  6. Step 6: Final answer
    x = 346,162,661.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.