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Finding the Third Proportional to 109,244,598.75 and 234,032,520.38

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Solution

The third proportional to 109,244,598.75 and 234,032,520.38 is: 501,363,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,244,598.75 : 234,032,520.38 = 234,032,520.38 : x
  2. Step 2: Convert to fraction form
    109,244,598.75/234,032,520.38 = 234,032,520.38/x
  3. Step 3: Cross multiply
    109,244,598.75x = 234,032,520.38 × 234,032,520.38
  4. Step 4: Simplify right side
    109,244,598.75x = 54,771,220,593,074,792
  5. Step 5: Solve for x
    x = 54,771,220,593,074,792/109,244,598.75
  6. Step 6: Final answer
    x = 501,363,190.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.