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Finding the Third Proportional to 155,201,184 and 215,792,748

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Solution

The third proportional to 155,201,184 and 215,792,748 is: 300,039,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,201,184 : 215,792,748 = 215,792,748 : x
  2. Step 2: Convert to fraction form
    155,201,184/215,792,748 = 215,792,748/x
  3. Step 3: Cross multiply
    155,201,184x = 215,792,748 × 215,792,748
  4. Step 4: Simplify right side
    155,201,184x = 46,566,510,089,391,504
  5. Step 5: Solve for x
    x = 46,566,510,089,391,504/155,201,184
  6. Step 6: Final answer
    x = 300,039,657.49

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Why These Related Problems?

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