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Finding the Third Proportional to 142,145,779.50 and 214,968,269.25

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Solution

The third proportional to 142,145,779.50 and 214,968,269.25 is: 325,098,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145,779.50 : 214,968,269.25 = 214,968,269.25 : x
  2. Step 2: Convert to fraction form
    142,145,779.50/214,968,269.25 = 214,968,269.25/x
  3. Step 3: Cross multiply
    142,145,779.50x = 214,968,269.25 × 214,968,269.25
  4. Step 4: Simplify right side
    142,145,779.50x = 46,211,356,784,340,496
  5. Step 5: Solve for x
    x = 46,211,356,784,340,496/142,145,779.50
  6. Step 6: Final answer
    x = 325,098,338.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.