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Finding the Third Proportional to 106,760,925 and 233,094,042

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Solution

The third proportional to 106,760,925 and 233,094,042 is: 508,920,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,760,925 : 233,094,042 = 233,094,042 : x
  2. Step 2: Convert to fraction form
    106,760,925/233,094,042 = 233,094,042/x
  3. Step 3: Cross multiply
    106,760,925x = 233,094,042 × 233,094,042
  4. Step 4: Simplify right side
    106,760,925x = 54,332,832,415,897,760
  5. Step 5: Solve for x
    x = 54,332,832,415,897,760/106,760,925
  6. Step 6: Final answer
    x = 508,920,585.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.