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Finding the Third Proportional to 144,129,570 and 223,361,334

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Solution

The third proportional to 144,129,570 and 223,361,334 is: 346,148,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129,570 : 223,361,334 = 223,361,334 : x
  2. Step 2: Convert to fraction form
    144,129,570/223,361,334 = 223,361,334/x
  3. Step 3: Cross multiply
    144,129,570x = 223,361,334 × 223,361,334
  4. Step 4: Simplify right side
    144,129,570x = 49,890,285,526,259,552
  5. Step 5: Solve for x
    x = 49,890,285,526,259,552/144,129,570
  6. Step 6: Final answer
    x = 346,148,854.30

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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.