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Finding the Third Proportional to 48,473,136 and 106,067,520

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Solution

The third proportional to 48,473,136 and 106,067,520 is: 232,093,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473,136 : 106,067,520 = 106,067,520 : x
  2. Step 2: Convert to fraction form
    48,473,136/106,067,520 = 106,067,520/x
  3. Step 3: Cross multiply
    48,473,136x = 106,067,520 × 106,067,520
  4. Step 4: Simplify right side
    48,473,136x = 11,250,318,798,950,400
  5. Step 5: Solve for x
    x = 11,250,318,798,950,400/48,473,136
  6. Step 6: Final answer
    x = 232,093,892.15

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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.