Home / 105,788,679.75-160,280,201.25

Finding the Third Proportional to 105,788,679.75 and 160,280,201.25

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Solution

The third proportional to 105,788,679.75 and 160,280,201.25 is: 242,840,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,788,679.75 : 160,280,201.25 = 160,280,201.25 : x
  2. Step 2: Convert to fraction form
    105,788,679.75/160,280,201.25 = 160,280,201.25/x
  3. Step 3: Cross multiply
    105,788,679.75x = 160,280,201.25 × 160,280,201.25
  4. Step 4: Simplify right side
    105,788,679.75x = 25,689,742,912,740,500
  5. Step 5: Solve for x
    x = 25,689,742,912,740,500/105,788,679.75
  6. Step 6: Final answer
    x = 242,840,188.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.