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Finding the Third Proportional to 157,265,331 and 234,534,210

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Solution

The third proportional to 157,265,331 and 234,534,210 is: 349,767,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265,331 : 234,534,210 = 234,534,210 : x
  2. Step 2: Convert to fraction form
    157,265,331/234,534,210 = 234,534,210/x
  3. Step 3: Cross multiply
    157,265,331x = 234,534,210 × 234,534,210
  4. Step 4: Simplify right side
    157,265,331x = 55,006,295,660,324,096
  5. Step 5: Solve for x
    x = 55,006,295,660,324,096/157,265,331
  6. Step 6: Final answer
    x = 349,767,461.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.