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Finding the Third Proportional to 238,298,964 and 514,236,360

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Solution

The third proportional to 238,298,964 and 514,236,360 is: 1,109,694,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,298,964 : 514,236,360 = 514,236,360 : x
  2. Step 2: Convert to fraction form
    238,298,964/514,236,360 = 514,236,360/x
  3. Step 3: Cross multiply
    238,298,964x = 514,236,360 × 514,236,360
  4. Step 4: Simplify right side
    238,298,964x = 264,439,033,946,049,600
  5. Step 5: Solve for x
    x = 264,439,033,946,049,600/238,298,964
  6. Step 6: Final answer
    x = 1,109,694,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.