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Finding the Third Proportional to 48,711,890 and 107,066,020

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Solution

The third proportional to 48,711,890 and 107,066,020 is: 235,325,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711,890 : 107,066,020 = 107,066,020 : x
  2. Step 2: Convert to fraction form
    48,711,890/107,066,020 = 107,066,020/x
  3. Step 3: Cross multiply
    48,711,890x = 107,066,020 × 107,066,020
  4. Step 4: Simplify right side
    48,711,890x = 11,463,132,638,640,400
  5. Step 5: Solve for x
    x = 11,463,132,638,640,400/48,711,890
  6. Step 6: Final answer
    x = 235,325,146.26

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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.