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Finding the Third Proportional to 96,930,297 and 145,494,589.50

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Solution

The third proportional to 96,930,297 and 145,494,589.50 is: 218,390,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,930,297 : 145,494,589.50 = 145,494,589.50 : x
  2. Step 2: Convert to fraction form
    96,930,297/145,494,589.50 = 145,494,589.50/x
  3. Step 3: Cross multiply
    96,930,297x = 145,494,589.50 × 145,494,589.50
  4. Step 4: Simplify right side
    96,930,297x = 21,168,675,573,773,512
  5. Step 5: Solve for x
    x = 21,168,675,573,773,512/96,930,297
  6. Step 6: Final answer
    x = 218,390,701.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.