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Finding the Third Proportional to 156,281,269 and 340,334,522

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Solution

The third proportional to 156,281,269 and 340,334,522 is: 741,148,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,281,269 : 340,334,522 = 340,334,522 : x
  2. Step 2: Convert to fraction form
    156,281,269/340,334,522 = 340,334,522/x
  3. Step 3: Cross multiply
    156,281,269x = 340,334,522 × 340,334,522
  4. Step 4: Simplify right side
    156,281,269x = 115,827,586,864,968,480
  5. Step 5: Solve for x
    x = 115,827,586,864,968,480/156,281,269
  6. Step 6: Final answer
    x = 741,148,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.