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Finding the Third Proportional to 71,776,562 and 157,449,196

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Solution

The third proportional to 71,776,562 and 157,449,196 is: 345,380,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776,562 : 157,449,196 = 157,449,196 : x
  2. Step 2: Convert to fraction form
    71,776,562/157,449,196 = 157,449,196/x
  3. Step 3: Cross multiply
    71,776,562x = 157,449,196 × 157,449,196
  4. Step 4: Simplify right side
    71,776,562x = 24,790,249,321,046,416
  5. Step 5: Solve for x
    x = 24,790,249,321,046,416/71,776,562
  6. Step 6: Final answer
    x = 345,380,840.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.