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Finding the Third Proportional to 138,958,116 and 296,999,508

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Solution

The third proportional to 138,958,116 and 296,999,508 is: 634,786,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958,116 : 296,999,508 = 296,999,508 : x
  2. Step 2: Convert to fraction form
    138,958,116/296,999,508 = 296,999,508/x
  3. Step 3: Cross multiply
    138,958,116x = 296,999,508 × 296,999,508
  4. Step 4: Simplify right side
    138,958,116x = 88,208,707,752,242,064
  5. Step 5: Solve for x
    x = 88,208,707,752,242,064/138,958,116
  6. Step 6: Final answer
    x = 634,786,295.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.