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Finding the Third Proportional to 109,721,670 and 238,357,992

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Solution

The third proportional to 109,721,670 and 238,357,992 is: 517,805,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721,670 : 238,357,992 = 238,357,992 : x
  2. Step 2: Convert to fraction form
    109,721,670/238,357,992 = 238,357,992/x
  3. Step 3: Cross multiply
    109,721,670x = 238,357,992 × 238,357,992
  4. Step 4: Simplify right side
    109,721,670x = 56,814,532,350,272,064
  5. Step 5: Solve for x
    x = 56,814,532,350,272,064/109,721,670
  6. Step 6: Final answer
    x = 517,805,938.88

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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.