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Finding the Third Proportional to 137,910,966 and 292,633,410

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Solution

The third proportional to 137,910,966 and 292,633,410 is: 620,939,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910,966 : 292,633,410 = 292,633,410 : x
  2. Step 2: Convert to fraction form
    137,910,966/292,633,410 = 292,633,410/x
  3. Step 3: Cross multiply
    137,910,966x = 292,633,410 × 292,633,410
  4. Step 4: Simplify right side
    137,910,966x = 85,634,312,648,228,096
  5. Step 5: Solve for x
    x = 85,634,312,648,228,096/137,910,966
  6. Step 6: Final answer
    x = 620,939,111.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.