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Finding the Third Proportional to 69,012,599.25 and 147,719,683.50

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Solution

The third proportional to 69,012,599.25 and 147,719,683.50 is: 316,190,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012,599.25 : 147,719,683.50 = 147,719,683.50 : x
  2. Step 2: Convert to fraction form
    69,012,599.25/147,719,683.50 = 147,719,683.50/x
  3. Step 3: Cross multiply
    69,012,599.25x = 147,719,683.50 × 147,719,683.50
  4. Step 4: Simplify right side
    69,012,599.25x = 21,821,104,893,340,172
  5. Step 5: Solve for x
    x = 21,821,104,893,340,172/69,012,599.25
  6. Step 6: Final answer
    x = 316,190,161.37

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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.