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Finding the Third Proportional to 152,074,675.13 and 312,211,212.75

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Solution

The third proportional to 152,074,675.13 and 312,211,212.75 is: 640,973,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,675.13 : 312,211,212.75 = 312,211,212.75 : x
  2. Step 2: Convert to fraction form
    152,074,675.13/312,211,212.75 = 312,211,212.75/x
  3. Step 3: Cross multiply
    152,074,675.13x = 312,211,212.75 × 312,211,212.75
  4. Step 4: Simplify right side
    152,074,675.13x = 97,475,841,366,825,760
  5. Step 5: Solve for x
    x = 97,475,841,366,825,760/152,074,675.13
  6. Step 6: Final answer
    x = 640,973,530.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.