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Finding the Third Proportional to 115,470,020.81 and 239,124,962.53

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Solution

The third proportional to 115,470,020.81 and 239,124,962.53 is: 495,199,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,470,020.81 : 239,124,962.53 = 239,124,962.53 : x
  2. Step 2: Convert to fraction form
    115,470,020.81/239,124,962.53 = 239,124,962.53/x
  3. Step 3: Cross multiply
    115,470,020.81x = 239,124,962.53 × 239,124,962.53
  4. Step 4: Simplify right side
    115,470,020.81x = 57,180,747,705,571,720
  5. Step 5: Solve for x
    x = 57,180,747,705,571,720/115,470,020.81
  6. Step 6: Final answer
    x = 495,199,942.84

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.