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Finding the Third Proportional to 242,171,916 and 516,632,706

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Solution

The third proportional to 242,171,916 and 516,632,706 is: 1,102,148,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,171,916 : 516,632,706 = 516,632,706 : x
  2. Step 2: Convert to fraction form
    242,171,916/516,632,706 = 516,632,706/x
  3. Step 3: Cross multiply
    242,171,916x = 516,632,706 × 516,632,706
  4. Step 4: Simplify right side
    242,171,916x = 266,909,352,908,882,432
  5. Step 5: Solve for x
    x = 266,909,352,908,882,432/242,171,916
  6. Step 6: Final answer
    x = 1,102,148,247.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.