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Finding the Third Proportional to 109,409,807 and 173,247,659

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Solution

The third proportional to 109,409,807 and 173,247,659 is: 274,333,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409,807 : 173,247,659 = 173,247,659 : x
  2. Step 2: Convert to fraction form
    109,409,807/173,247,659 = 173,247,659/x
  3. Step 3: Cross multiply
    109,409,807x = 173,247,659 × 173,247,659
  4. Step 4: Simplify right side
    109,409,807x = 30,014,751,348,980,280
  5. Step 5: Solve for x
    x = 30,014,751,348,980,280/109,409,807
  6. Step 6: Final answer
    x = 274,333,281.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.