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Finding the Third Proportional to 101,463,900.75 and 217,276,678.13

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Solution

The third proportional to 101,463,900.75 and 217,276,678.13 is: 465,280,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,463,900.75 : 217,276,678.13 = 217,276,678.13 : x
  2. Step 2: Convert to fraction form
    101,463,900.75/217,276,678.13 = 217,276,678.13/x
  3. Step 3: Cross multiply
    101,463,900.75x = 217,276,678.13 × 217,276,678.13
  4. Step 4: Simplify right side
    101,463,900.75x = 47,209,154,857,034,856
  5. Step 5: Solve for x
    x = 47,209,154,857,034,856/101,463,900.75
  6. Step 6: Final answer
    x = 465,280,306.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.