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Finding the Third Proportional to 152,866,543,097.75 and 332,571,888,389.75

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Solution

The third proportional to 152,866,543,097.75 and 332,571,888,389.75 is: 723,533,473,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866,543,097.75 : 332,571,888,389.75 = 332,571,888,389.75 : x
  2. Step 2: Convert to fraction form
    152,866,543,097.75/332,571,888,389.75 = 332,571,888,389.75/x
  3. Step 3: Cross multiply
    152,866,543,097.75x = 332,571,888,389.75 × 332,571,888,389.75
  4. Step 4: Simplify right side
    152,866,543,097.75x = 110,604,060,947,124,339,081,216
  5. Step 5: Solve for x
    x = 110,604,060,947,124,339,081,216/152,866,543,097.75
  6. Step 6: Final answer
    x = 723,533,473,746.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.