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Finding the Third Proportional to 109,765,750 and 238,662,646

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Solution

The third proportional to 109,765,750 and 238,662,646 is: 518,921,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,750 : 238,662,646 = 238,662,646 : x
  2. Step 2: Convert to fraction form
    109,765,750/238,662,646 = 238,662,646/x
  3. Step 3: Cross multiply
    109,765,750x = 238,662,646 × 238,662,646
  4. Step 4: Simplify right side
    109,765,750x = 56,959,858,595,721,312
  5. Step 5: Solve for x
    x = 56,959,858,595,721,312/109,765,750
  6. Step 6: Final answer
    x = 518,921,964.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.