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Finding the Third Proportional to 71,835,858 and 157,577,756.63

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Solution

The third proportional to 71,835,858 and 157,577,756.63 is: 345,659,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835,858 : 157,577,756.63 = 157,577,756.63 : x
  2. Step 2: Convert to fraction form
    71,835,858/157,577,756.63 = 157,577,756.63/x
  3. Step 3: Cross multiply
    71,835,858x = 157,577,756.63 × 157,577,756.63
  4. Step 4: Simplify right side
    71,835,858x = 24,830,749,382,967,732
  5. Step 5: Solve for x
    x = 24,830,749,382,967,732/71,835,858
  6. Step 6: Final answer
    x = 345,659,536.54

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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.