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Finding the Third Proportional to 110,635,393 and 159,835,276

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Solution

The third proportional to 110,635,393 and 159,835,276 is: 230,914,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,635,393 : 159,835,276 = 159,835,276 : x
  2. Step 2: Convert to fraction form
    110,635,393/159,835,276 = 159,835,276/x
  3. Step 3: Cross multiply
    110,635,393x = 159,835,276 × 159,835,276
  4. Step 4: Simplify right side
    110,635,393x = 25,547,315,453,996,176
  5. Step 5: Solve for x
    x = 25,547,315,453,996,176/110,635,393
  6. Step 6: Final answer
    x = 230,914,490.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.