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Finding the Third Proportional to 173,244,460 and 385,223,587

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Solution

The third proportional to 173,244,460 and 385,223,587 is: 856,576,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,244,460 : 385,223,587 = 385,223,587 : x
  2. Step 2: Convert to fraction form
    173,244,460/385,223,587 = 385,223,587/x
  3. Step 3: Cross multiply
    173,244,460x = 385,223,587 × 385,223,587
  4. Step 4: Simplify right side
    173,244,460x = 148,397,211,981,146,560
  5. Step 5: Solve for x
    x = 148,397,211,981,146,560/173,244,460
  6. Step 6: Final answer
    x = 856,576,954.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.