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Finding the Third Proportional to 46,557,004.50 and 109,747,786.50

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Solution

The third proportional to 46,557,004.50 and 109,747,786.50 is: 258,706,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,004.50 : 109,747,786.50 = 109,747,786.50 : x
  2. Step 2: Convert to fraction form
    46,557,004.50/109,747,786.50 = 109,747,786.50/x
  3. Step 3: Cross multiply
    46,557,004.50x = 109,747,786.50 × 109,747,786.50
  4. Step 4: Simplify right side
    46,557,004.50x = 12,044,576,641,649,582
  5. Step 5: Solve for x
    x = 12,044,576,641,649,582/46,557,004.50
  6. Step 6: Final answer
    x = 258,706,005.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.