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Finding the Third Proportional to 49,032,496.50 and 106,683,678

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Solution

The third proportional to 49,032,496.50 and 106,683,678 is: 232,119,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,032,496.50 : 106,683,678 = 106,683,678 : x
  2. Step 2: Convert to fraction form
    49,032,496.50/106,683,678 = 106,683,678/x
  3. Step 3: Cross multiply
    49,032,496.50x = 106,683,678 × 106,683,678
  4. Step 4: Simplify right side
    49,032,496.50x = 11,381,407,151,607,684
  5. Step 5: Solve for x
    x = 11,381,407,151,607,684/49,032,496.50
  6. Step 6: Final answer
    x = 232,119,674.99

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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.