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Finding the Third Proportional to 68,200,142 and 146,103,964

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Solution

The third proportional to 68,200,142 and 146,103,964 is: 312,995,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200,142 : 146,103,964 = 146,103,964 : x
  2. Step 2: Convert to fraction form
    68,200,142/146,103,964 = 146,103,964/x
  3. Step 3: Cross multiply
    68,200,142x = 146,103,964 × 146,103,964
  4. Step 4: Simplify right side
    68,200,142x = 21,346,368,296,513,296
  5. Step 5: Solve for x
    x = 21,346,368,296,513,296/68,200,142
  6. Step 6: Final answer
    x = 312,995,950.90

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