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Finding the Third Proportional to 66,025,025.25 and 144,804,634.50

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Solution

The third proportional to 66,025,025.25 and 144,804,634.50 is: 317,582,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,025.25 : 144,804,634.50 = 144,804,634.50 : x
  2. Step 2: Convert to fraction form
    66,025,025.25/144,804,634.50 = 144,804,634.50/x
  3. Step 3: Cross multiply
    66,025,025.25x = 144,804,634.50 × 144,804,634.50
  4. Step 4: Simplify right side
    66,025,025.25x = 20,968,382,172,678,592
  5. Step 5: Solve for x
    x = 20,968,382,172,678,592/66,025,025.25
  6. Step 6: Final answer
    x = 317,582,342.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.