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Finding the Third Proportional to 56,603,901 and 121,280,298

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Solution

The third proportional to 56,603,901 and 121,280,298 is: 259,856,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,603,901 : 121,280,298 = 121,280,298 : x
  2. Step 2: Convert to fraction form
    56,603,901/121,280,298 = 121,280,298/x
  3. Step 3: Cross multiply
    56,603,901x = 121,280,298 × 121,280,298
  4. Step 4: Simplify right side
    56,603,901x = 14,708,910,682,968,804
  5. Step 5: Solve for x
    x = 14,708,910,682,968,804/56,603,901
  6. Step 6: Final answer
    x = 259,856,837.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.