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Finding the Third Proportional to 232,453,159 and 510,250,294

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Solution

The third proportional to 232,453,159 and 510,250,294 is: 1,120,033,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,453,159 : 510,250,294 = 510,250,294 : x
  2. Step 2: Convert to fraction form
    232,453,159/510,250,294 = 510,250,294/x
  3. Step 3: Cross multiply
    232,453,159x = 510,250,294 × 510,250,294
  4. Step 4: Simplify right side
    232,453,159x = 260,355,362,527,086,432
  5. Step 5: Solve for x
    x = 260,355,362,527,086,432/232,453,159
  6. Step 6: Final answer
    x = 1,120,033,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.