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Finding the Third Proportional to 229,863,976 and 510,746,256

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Solution

The third proportional to 229,863,976 and 510,746,256 is: 1,134,852,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,976 : 510,746,256 = 510,746,256 : x
  2. Step 2: Convert to fraction form
    229,863,976/510,746,256 = 510,746,256/x
  3. Step 3: Cross multiply
    229,863,976x = 510,746,256 × 510,746,256
  4. Step 4: Simplify right side
    229,863,976x = 260,861,738,018,017,536
  5. Step 5: Solve for x
    x = 260,861,738,018,017,536/229,863,976
  6. Step 6: Final answer
    x = 1,134,852,631.36

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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.