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Finding the Third Proportional to 48,745,236 and 107,054,952

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Solution

The third proportional to 48,745,236 and 107,054,952 is: 235,115,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745,236 : 107,054,952 = 107,054,952 : x
  2. Step 2: Convert to fraction form
    48,745,236/107,054,952 = 107,054,952/x
  3. Step 3: Cross multiply
    48,745,236x = 107,054,952 × 107,054,952
  4. Step 4: Simplify right side
    48,745,236x = 11,460,762,747,722,304
  5. Step 5: Solve for x
    x = 11,460,762,747,722,304/48,745,236
  6. Step 6: Final answer
    x = 235,115,545.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.