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Finding the Third Proportional to 137,841,988 and 213,409,734

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Solution

The third proportional to 137,841,988 and 213,409,734 is: 330,405,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,841,988 : 213,409,734 = 213,409,734 : x
  2. Step 2: Convert to fraction form
    137,841,988/213,409,734 = 213,409,734/x
  3. Step 3: Cross multiply
    137,841,988x = 213,409,734 × 213,409,734
  4. Step 4: Simplify right side
    137,841,988x = 45,543,714,565,950,752
  5. Step 5: Solve for x
    x = 45,543,714,565,950,752/137,841,988
  6. Step 6: Final answer
    x = 330,405,235.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.