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Finding the Third Proportional to 137,306,210 and 207,236,210

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Solution

The third proportional to 137,306,210 and 207,236,210 is: 312,781,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,210 : 207,236,210 = 207,236,210 : x
  2. Step 2: Convert to fraction form
    137,306,210/207,236,210 = 207,236,210/x
  3. Step 3: Cross multiply
    137,306,210x = 207,236,210 × 207,236,210
  4. Step 4: Simplify right side
    137,306,210x = 42,946,846,735,164,096
  5. Step 5: Solve for x
    x = 42,946,846,735,164,096/137,306,210
  6. Step 6: Final answer
    x = 312,781,532.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.