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Finding the Third Proportional to 82,902,107.25 and 130,032,972

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Solution

The third proportional to 82,902,107.25 and 130,032,972 is: 203,958,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902,107.25 : 130,032,972 = 130,032,972 : x
  2. Step 2: Convert to fraction form
    82,902,107.25/130,032,972 = 130,032,972/x
  3. Step 3: Cross multiply
    82,902,107.25x = 130,032,972 × 130,032,972
  4. Step 4: Simplify right side
    82,902,107.25x = 16,908,573,807,152,784
  5. Step 5: Solve for x
    x = 16,908,573,807,152,784/82,902,107.25
  6. Step 6: Final answer
    x = 203,958,311.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.