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Finding the Third Proportional to 160,734,294 and 340,782,577.31

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Solution

The third proportional to 160,734,294 and 340,782,577.31 is: 722,513,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,734,294 : 340,782,577.31 = 340,782,577.31 : x
  2. Step 2: Convert to fraction form
    160,734,294/340,782,577.31 = 340,782,577.31/x
  3. Step 3: Cross multiply
    160,734,294x = 340,782,577.31 × 340,782,577.31
  4. Step 4: Simplify right side
    160,734,294x = 116,132,764,999,750,032
  5. Step 5: Solve for x
    x = 116,132,764,999,750,032/160,734,294
  6. Step 6: Final answer
    x = 722,513,921.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.