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Finding the Third Proportional to 117,775,298 and 257,385,604

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Solution

The third proportional to 117,775,298 and 257,385,604 is: 562,489,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,775,298 : 257,385,604 = 257,385,604 : x
  2. Step 2: Convert to fraction form
    117,775,298/257,385,604 = 257,385,604/x
  3. Step 3: Cross multiply
    117,775,298x = 257,385,604 × 257,385,604
  4. Step 4: Simplify right side
    117,775,298x = 66,247,349,146,444,816
  5. Step 5: Solve for x
    x = 66,247,349,146,444,816/117,775,298
  6. Step 6: Final answer
    x = 562,489,335.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.