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Finding the Third Proportional to 157,313,020.50 and 218,731,180.69

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Solution

The third proportional to 157,313,020.50 and 218,731,180.69 is: 304,128,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,313,020.50 : 218,731,180.69 = 218,731,180.69 : x
  2. Step 2: Convert to fraction form
    157,313,020.50/218,731,180.69 = 218,731,180.69/x
  3. Step 3: Cross multiply
    157,313,020.50x = 218,731,180.69 × 218,731,180.69
  4. Step 4: Simplify right side
    157,313,020.50x = 47,843,329,404,947,776
  5. Step 5: Solve for x
    x = 47,843,329,404,947,776/157,313,020.50
  6. Step 6: Final answer
    x = 304,128,223.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.