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Finding the Third Proportional to 48,711,892 and 107,066,024

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Solution

The third proportional to 48,711,892 and 107,066,024 is: 235,325,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711,892 : 107,066,024 = 107,066,024 : x
  2. Step 2: Convert to fraction form
    48,711,892/107,066,024 = 107,066,024/x
  3. Step 3: Cross multiply
    48,711,892x = 107,066,024 × 107,066,024
  4. Step 4: Simplify right side
    48,711,892x = 11,463,133,495,168,576
  5. Step 5: Solve for x
    x = 11,463,133,495,168,576/48,711,892
  6. Step 6: Final answer
    x = 235,325,154.18

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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.