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Finding the Third Proportional to 45,379,200 and 97,137,216

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Solution

The third proportional to 45,379,200 and 97,137,216 is: 207,928,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,379,200 : 97,137,216 = 97,137,216 : x
  2. Step 2: Convert to fraction form
    45,379,200/97,137,216 = 97,137,216/x
  3. Step 3: Cross multiply
    45,379,200x = 97,137,216 × 97,137,216
  4. Step 4: Simplify right side
    45,379,200x = 9,435,638,732,230,656
  5. Step 5: Solve for x
    x = 9,435,638,732,230,656/45,379,200
  6. Step 6: Final answer
    x = 207,928,714.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.