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Finding the Third Proportional to 138,310,676.25 and 210,298,129.88

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Solution

The third proportional to 138,310,676.25 and 210,298,129.88 is: 319,753,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,310,676.25 : 210,298,129.88 = 210,298,129.88 : x
  2. Step 2: Convert to fraction form
    138,310,676.25/210,298,129.88 = 210,298,129.88/x
  3. Step 3: Cross multiply
    138,310,676.25x = 210,298,129.88 × 210,298,129.88
  4. Step 4: Simplify right side
    138,310,676.25x = 44,225,303,428,922,368
  5. Step 5: Solve for x
    x = 44,225,303,428,922,368/138,310,676.25
  6. Step 6: Final answer
    x = 319,753,359.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.