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Finding the Third Proportional to 106,853,197 and 169,334,647.50

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Solution

The third proportional to 106,853,197 and 169,334,647.50 is: 268,351,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,853,197 : 169,334,647.50 = 169,334,647.50 : x
  2. Step 2: Convert to fraction form
    106,853,197/169,334,647.50 = 169,334,647.50/x
  3. Step 3: Cross multiply
    106,853,197x = 169,334,647.50 × 169,334,647.50
  4. Step 4: Simplify right side
    106,853,197x = 28,674,222,843,949,256
  5. Step 5: Solve for x
    x = 28,674,222,843,949,256/106,853,197
  6. Step 6: Final answer
    x = 268,351,566.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.