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Finding the Third Proportional to 213,870,764.25 and 458,436,361.50

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Solution

The third proportional to 213,870,764.25 and 458,436,361.50 is: 982,667,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870,764.25 : 458,436,361.50 = 458,436,361.50 : x
  2. Step 2: Convert to fraction form
    213,870,764.25/458,436,361.50 = 458,436,361.50/x
  3. Step 3: Cross multiply
    213,870,764.25x = 458,436,361.50 × 458,436,361.50
  4. Step 4: Simplify right side
    213,870,764.25x = 210,163,897,545,358,688
  5. Step 5: Solve for x
    x = 210,163,897,545,358,688/213,870,764.25
  6. Step 6: Final answer
    x = 982,667,725.92

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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.