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Finding the Third Proportional to 63,055,164 and 135,834,216

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Solution

The third proportional to 63,055,164 and 135,834,216 is: 292,615,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,055,164 : 135,834,216 = 135,834,216 : x
  2. Step 2: Convert to fraction form
    63,055,164/135,834,216 = 135,834,216/x
  3. Step 3: Cross multiply
    63,055,164x = 135,834,216 × 135,834,216
  4. Step 4: Simplify right side
    63,055,164x = 18,450,934,236,334,656
  5. Step 5: Solve for x
    x = 18,450,934,236,334,656/63,055,164
  6. Step 6: Final answer
    x = 292,615,752.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.