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Finding the Third Proportional to 106,485,327 and 163,574,550

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Solution

The third proportional to 106,485,327 and 163,574,550 is: 251,270,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,485,327 : 163,574,550 = 163,574,550 : x
  2. Step 2: Convert to fraction form
    106,485,327/163,574,550 = 163,574,550/x
  3. Step 3: Cross multiply
    106,485,327x = 163,574,550 × 163,574,550
  4. Step 4: Simplify right side
    106,485,327x = 26,756,633,407,702,500
  5. Step 5: Solve for x
    x = 26,756,633,407,702,500/106,485,327
  6. Step 6: Final answer
    x = 251,270,613.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.