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Finding the Third Proportional to 140,694,555.50 and 310,012,971.50

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Solution

The third proportional to 140,694,555.50 and 310,012,971.50 is: 683,097,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,694,555.50 : 310,012,971.50 = 310,012,971.50 : x
  2. Step 2: Convert to fraction form
    140,694,555.50/310,012,971.50 = 310,012,971.50/x
  3. Step 3: Cross multiply
    140,694,555.50x = 310,012,971.50 × 310,012,971.50
  4. Step 4: Simplify right side
    140,694,555.50x = 96,108,042,498,259,808
  5. Step 5: Solve for x
    x = 96,108,042,498,259,808/140,694,555.50
  6. Step 6: Final answer
    x = 683,097,097.52

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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.