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Finding the Third Proportional to 100,792,004,220 and 215,960,595,012

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Solution

The third proportional to 100,792,004,220 and 215,960,595,012 is: 462,724,984,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,792,004,220 : 215,960,595,012 = 215,960,595,012 : x
  2. Step 2: Convert to fraction form
    100,792,004,220/215,960,595,012 = 215,960,595,012/x
  3. Step 3: Cross multiply
    100,792,004,220x = 215,960,595,012 × 215,960,595,012
  4. Step 4: Simplify right side
    100,792,004,220x = 46,638,978,597,937,079,123,968
  5. Step 5: Solve for x
    x = 46,638,978,597,937,079,123,968/100,792,004,220
  6. Step 6: Final answer
    x = 462,724,984,574.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.