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Finding the Third Proportional to 141,068,952 and 305,679,096

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Solution

The third proportional to 141,068,952 and 305,679,096 is: 662,369,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,068,952 : 305,679,096 = 305,679,096 : x
  2. Step 2: Convert to fraction form
    141,068,952/305,679,096 = 305,679,096/x
  3. Step 3: Cross multiply
    141,068,952x = 305,679,096 × 305,679,096
  4. Step 4: Simplify right side
    141,068,952x = 93,439,709,731,377,216
  5. Step 5: Solve for x
    x = 93,439,709,731,377,216/141,068,952
  6. Step 6: Final answer
    x = 662,369,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.