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Finding the Third Proportional to 55,952,216 and 120,407,488

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Solution

The third proportional to 55,952,216 and 120,407,488 is: 259,113,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952,216 : 120,407,488 = 120,407,488 : x
  2. Step 2: Convert to fraction form
    55,952,216/120,407,488 = 120,407,488/x
  3. Step 3: Cross multiply
    55,952,216x = 120,407,488 × 120,407,488
  4. Step 4: Simplify right side
    55,952,216x = 14,497,963,166,470,144
  5. Step 5: Solve for x
    x = 14,497,963,166,470,144/55,952,216
  6. Step 6: Final answer
    x = 259,113,297.08

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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.