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Finding the Third Proportional to 52,352,498.94 and 115,090,239.06

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Solution

The third proportional to 52,352,498.94 and 115,090,239.06 is: 253,011,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352,498.94 : 115,090,239.06 = 115,090,239.06 : x
  2. Step 2: Convert to fraction form
    52,352,498.94/115,090,239.06 = 115,090,239.06/x
  3. Step 3: Cross multiply
    52,352,498.94x = 115,090,239.06 × 115,090,239.06
  4. Step 4: Simplify right side
    52,352,498.94x = 13,245,763,127,463,400
  5. Step 5: Solve for x
    x = 13,245,763,127,463,400/52,352,498.94
  6. Step 6: Final answer
    x = 253,011,095.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.