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Finding the Third Proportional to 222,939,960 and 466,207,534

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Solution

The third proportional to 222,939,960 and 466,207,534 is: 974,923,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939,960 : 466,207,534 = 466,207,534 : x
  2. Step 2: Convert to fraction form
    222,939,960/466,207,534 = 466,207,534/x
  3. Step 3: Cross multiply
    222,939,960x = 466,207,534 × 466,207,534
  4. Step 4: Simplify right side
    222,939,960x = 217,349,464,758,361,152
  5. Step 5: Solve for x
    x = 217,349,464,758,361,152/222,939,960
  6. Step 6: Final answer
    x = 974,923,763.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.