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Finding the Third Proportional to 310,297,152 and 462,754,867.50

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Solution

The third proportional to 310,297,152 and 462,754,867.50 is: 690,119,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,297,152 : 462,754,867.50 = 462,754,867.50 : x
  2. Step 2: Convert to fraction form
    310,297,152/462,754,867.50 = 462,754,867.50/x
  3. Step 3: Cross multiply
    310,297,152x = 462,754,867.50 × 462,754,867.50
  4. Step 4: Simplify right side
    310,297,152x = 214,142,067,394,942,560
  5. Step 5: Solve for x
    x = 214,142,067,394,942,560/310,297,152
  6. Step 6: Final answer
    x = 690,119,345.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.