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Finding the Third Proportional to 109,364,964.75 and 258,166,301.63

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Solution

The third proportional to 109,364,964.75 and 258,166,301.63 is: 609,425,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364,964.75 : 258,166,301.63 = 258,166,301.63 : x
  2. Step 2: Convert to fraction form
    109,364,964.75/258,166,301.63 = 258,166,301.63/x
  3. Step 3: Cross multiply
    109,364,964.75x = 258,166,301.63 × 258,166,301.63
  4. Step 4: Simplify right side
    109,364,964.75x = 66,649,839,294,730,480
  5. Step 5: Solve for x
    x = 66,649,839,294,730,480/109,364,964.75
  6. Step 6: Final answer
    x = 609,425,874.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.