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Finding the Third Proportional to 176,561,339.63 and 290,726,680.78

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Solution

The third proportional to 176,561,339.63 and 290,726,680.78 is: 478,711,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,561,339.63 : 290,726,680.78 = 290,726,680.78 : x
  2. Step 2: Convert to fraction form
    176,561,339.63/290,726,680.78 = 290,726,680.78/x
  3. Step 3: Cross multiply
    176,561,339.63x = 290,726,680.78 × 290,726,680.78
  4. Step 4: Simplify right side
    176,561,339.63x = 84,522,002,918,082,832
  5. Step 5: Solve for x
    x = 84,522,002,918,082,832/176,561,339.63
  6. Step 6: Final answer
    x = 478,711,835.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.