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Finding the Third Proportional to 105,296,044 and 234,789,338

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Solution

The third proportional to 105,296,044 and 234,789,338 is: 523,533,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296,044 : 234,789,338 = 234,789,338 : x
  2. Step 2: Convert to fraction form
    105,296,044/234,789,338 = 234,789,338/x
  3. Step 3: Cross multiply
    105,296,044x = 234,789,338 × 234,789,338
  4. Step 4: Simplify right side
    105,296,044x = 55,126,033,238,478,240
  5. Step 5: Solve for x
    x = 55,126,033,238,478,240/105,296,044
  6. Step 6: Final answer
    x = 523,533,754.40

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.